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b(\(0,.5\))f(\\Dot)h(\(1,.5\))f(\\Dot)h(\(2,.5\))42 402 y(\\endGrap)o(h)1191 372 y gsave 1191 372 a 1191 372 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1191 372 a 1181 382 a Fw(\017)1191 372 y grestore 1191 372 a 1250 372 a gsave 1250 372 a 1250 372 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1250 372 a 1240 382 a Fw(\017)1250 372 y grestore 1250 372 a 1309 372 a gsave 1309 372 a 1309 372 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1309 372 a 1299 382 a Fw(\017)1309 372 y grestore 1309 372 a 0 568 a Fk(\\ygrid=)p Fj(dimen)1531 b Fk(1cm)0 632 y(\\ygrid+=)p Fj(dimen)0 699 y FF(Set)14 b(the)h(default)f(distance)g(b)q(et)o(w)o (een)h(the)g(horizon)o(tal)e(gridlines)g(of)h(a)f(Diagram.)j(Sets)e FG(\\yscale=1)p FF(.)0 852 y Fk(\\yrange=)p Fj(inte)m(ger)1543 b Fk(1)0 918 y FF(Set)15 b(the)h(v)o(ertical)e(units)h(for)g(the)g(co)q (ordinate)g(system)g(used)h(when)f(t)o(yp)q(esetting)h(mo)q (di\014cations)d(on)h(a)h(Figure)g(or)f(Graph)0 968 y(b)o(y)g(dividing) e(the)i(default)g(unit)g(b)o(y)f FC(inte)n(ger)p FF(.)18 b(See)d FG(\\xrange)p FF(.)0 1122 y Fk(\\yscale=)p Fj(numb)m(er)1530 b Fk(1)0 1188 y FF(Scale)14 b FG(\\ygrid)f FF(b)o(y)g FC(numb)n(er)p FF(.)18 b(See)d FG(\\xscale)p FF(.)0 1342 y Fk(\\yunit=)p Fj(dimen)0 1406 y Fk(\\yunit+=)p Fj(dimen)0 1473 y FF(Set)g(the)f(v)o(ertical)g(units)g(for)g(the)h(co)q(ordinate)f (system)g(used)h(when)g(t)o(yp)q(esetting)g(mo)q(di\014cations)d(on)i (a)g(Figure)g(or)g(Graph.)0 1522 y(See)h FG(\\xunit)p FF(.)954 2770 y(56)p eop %%Page: 57 2 57 56 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y Fy(26.)52 b(Examples)0 158 y FF(The)14 b FG(Dash)p FF(,)e FG(Dashto)f FF(and)j FG(Mono)e FF(cell)h(t)o(yp)q(es)h(in)f(some)f(of)h(these)h(examples)e (use)i(the)g FG(arrsy10)e FF(fon)o(t:)17 b(See)d Fw(x)q FF(14)e(and)h FG(\\arrsy)0 208 y FF(in)g Fw(x)q FF(25.)k(Also,)d FG(\\bb)f FF(in)o(v)o(ok)o(es)g(the)i(bbm)d(family)f(of)i(fon)o(ts.)-79 299 y Fr(1)62 b Fx($$)-79 349 y Fr(2)g Fx(\\grid=.75c)o(m)-79 399 y Fr(3)g Fx(\\Diagram)-79 448 y Fr(4)g Fx(A')176 b(&)137 b(&)19 b(\\rTo)f(^{f'})g(&)137 b(&)19 b(B')529 b(\\\\)-79 498 y Fr(5)278 b Fx(&)19 b(\\rdTo)f(h)h(\\\\)-95 847 y Fr(12)277 b Fx(&)19 b(\\rdTo)f(_c)h (\\dh{.5pt)o(}&&)134 b(&)176 b(&)19 b(\\rdTo)f(_d)215 b(\\\\)-95 897 y Fr(13)277 b Fx(&)137 b(&)19 b(C)196 b(&)137 b(&)19 b(\\rTo)f(^k)h(&)195 b(&)20 b(D)137 b(\\\\)-95 946 y Fr(14)61 b Fx(\\endDiagra)o(m)-95 996 y Fr(15)g Fx($$)889 1135 y gsave 889 1135 a 889 1135 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 889 1135 a 741 1146 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)-21 b Fv(\021)889 1135 y grestore 889 1135 a 889 1135 a gsave 889 1135 a 889 1135 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 889 1135 a 888 1123 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 888 1123 a 873 1117 a Fu(f)892 1105 y Ft(0)888 1135 y grestore 888 1135 a 800 1224 a gsave 800 1224 a 800 1224 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 800 1224 a 698 1234 a Fw(\000)h(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000) h(\000)-19 b Fv(\021)800 1224 y grestore 800 1224 a 800 1224 a gsave 800 1224 a 800 1224 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 800 1224 a 800 1236 a currentpoint currentpoint translate 2797018 neg 2797018 atan rotate neg exch neg exch translate 800 1236 a 782 1249 a Fu(a)800 1224 y grestore 800 1224 a 1154 1224 a gsave 1154 1224 a 1154 1224 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 1154 1224 a 1052 1234 a Fw(\000)-13 b(\000)k(\000)g(\000)g(\000)g(\000)g(\000)d Fv(\021)1154 1224 y grestore 1154 1224 a 1154 1224 a gsave 1154 1224 a 1154 1224 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 1154 1224 a 1149 1236 a currentpoint currentpoint translate 2797018 neg 2797018 atan rotate neg exch neg exch translate 1149 1236 a 1134 1257 a Fu(b)1149 1224 y grestore 1149 1224 a 711 1313 a gsave 711 1313 a 711 1313 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 711 1313 a 553 1323 a Fw(\000)c(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)-15 b Fv(\021)711 1313 y grestore 711 1313 a 711 1313 a gsave 711 1313 a 711 1313 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 711 1313 a 705 1325 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 705 1325 a 677 1335 a Fu(g)694 1323 y Ft(0)705 1313 y grestore 705 1313 a 1066 1313 a gsave 1066 1313 a 1066 1313 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 1066 1313 a 907 1323 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000) -16 b Fv(\021)1066 1313 y grestore 1066 1313 a 1066 1313 a gsave 1066 1313 a 1066 1313 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 1066 1313 a 983 1325 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 983 1325 a 952 1335 a Fu(h)971 1323 y Ft(0)983 1313 y grestore 983 1313 a 1066 1313 a gsave 1066 1313 a 1066 1313 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1066 1313 a 889 1313 a 1 setgray 889 1313 a 912 1323 306 21 v 1066 1313 a grestore 1066 1313 a 1066 1313 a gsave 1066 1313 a 1066 1313 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1066 1313 a 912 1323 a Fw(\000)h(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)-15 b Fv(\021)1066 1313 y grestore 1066 1313 a 1066 1313 a gsave 1066 1313 a 1066 1313 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1066 1313 a 989 1300 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 989 1300 a 979 1294 a Fu(f)989 1313 y grestore 989 1313 a 889 1490 a gsave 889 1490 a 889 1490 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 889 1490 a 742 1500 a Fw(\000)-23 b(\000)-9 b(\000)h(\000)f(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)-22 b Fv(\021)889 1490 y grestore 889 1490 a 889 1490 a gsave 889 1490 a 889 1490 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 889 1490 a 961 1477 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 961 1477 a -15 w Fu(k)965 1465 y Ft(0)961 1490 y grestore 961 1490 a 889 1490 a gsave 889 1490 a 889 1490 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 889 1490 a 711 1490 a 1 setgray 711 1490 a 730 1500 310 21 v 889 1490 a grestore 889 1490 a 889 1490 a gsave 889 1490 a 889 1490 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 889 1490 a 730 1500 a Fw(\000)-14 b(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)c Fv(\021)889 1490 y grestore 889 1490 a 889 1490 a gsave 889 1490 a 889 1490 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 889 1490 a 807 1502 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 807 1502 a 790 1513 a Fu(g)807 1490 y grestore 807 1490 a 1243 1490 a gsave 1243 1490 a 1243 1490 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 1243 1490 a 1084 1500 a Fw(\000)g(\000)k(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)c Fv(\021)1243 1490 y grestore 1243 1490 a 1243 1490 a gsave 1243 1490 a 1243 1490 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 1243 1490 a 1239 1477 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 1239 1477 a 11 x Fu(h)1239 1490 y grestore 1239 1490 a 800 1578 a gsave 800 1578 a 800 1578 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 800 1578 a 698 1589 a Fw(\000)-23 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000) -22 b Fv(\021)800 1578 y grestore 800 1578 a 800 1578 a gsave 800 1578 a 800 1578 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 800 1578 a 797 1591 a currentpoint currentpoint translate 2797018 neg 2797018 atan rotate neg exch neg exch translate 797 1591 a 782 1603 a Fu(c)797 1578 y grestore 797 1578 a 1154 1578 a gsave 1154 1578 a 1154 1578 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 1154 1578 a 1052 1589 a Fw(\000)-14 b(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000)c Fv(\021)1154 1578 y grestore 1154 1578 a 1154 1578 a gsave 1154 1578 a 1154 1578 a currentpoint currentpoint translate -2797018 neg 2797018 atan rotate neg exch neg exch translate 1154 1578 a 1149 1591 a currentpoint currentpoint translate 2797018 neg 2797018 atan rotate neg exch neg exch translate 1149 1591 a 1132 1611 a Fu(d)1149 1578 y grestore 1149 1578 a 1066 1667 a gsave 1066 1667 a 1066 1667 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1066 1667 a 913 1677 a Fw(\000)d(\000)-9 b(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-16 b Fv(\021)1066 1667 y grestore 1066 1667 a 1066 1667 a gsave 1066 1667 a 1066 1667 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1066 1667 a 1065 1654 a currentpoint currentpoint translate 0 neg 5594036 atan rotate neg exch neg exch translate 1065 1654 a -9 w Fu(k)1065 1667 y grestore 1065 1667 a 690 1146 a FB(A)721 1129 y Fs(0)1043 1146 y FB(B)1076 1129 y Fs(0)873 1323 y FB(A)322 b(B)689 1500 y(C)722 1483 y Fs(0)1042 1500 y FB(D)1077 1483 y Fs(0)872 1677 y FB(C)h(D)0 1852 y FH(G.)16 b(Bredon)p FF(,)11 b FC(Intr)n(o)n(duction)16 b(to)e(Comp)n(act)h(T)m(r)n (ansformation)f(Gr)n(oups)p FF(,)g(page)g(75.)-79 1944 y Fr(1)62 b Fx($$)-79 1993 y Fr(2)g Fx(\\Dg)-79 2043 y Fr(3)g Fx(F\\times)17 b(K\\times)g(U)98 b(&)19 b(\\rTo)f(^{\\rm)f (proj})97 b(&)215 b(&)19 b(K\\times)e(U)157 b(\\\\)-79 2093 y Fr(4)62 b Fx(\\dTo)352 b(&)431 b(&)215 b(&)19 b(\\dTo)f(>{\\rm)g(proj})g(\\\\)-79 2143 y Fr(5)62 b Fx(F\\times_K)16 b(\(K\\times)h(U\))i(&)g({})g(\\approx)d(F\\times)h(U) j(&)f(\\rTo)f(^{\\rm)g(proj}&)f(U)196 b(\\\\)-79 2193 y Fr(6)62 b Fx(\\endDg)-79 2242 y Fr(7)g Fx($$)1012 2377 y gsave 1012 2377 a 1012 2377 a currentpoint currentpoint translate 0 neg 7515619 atan rotate neg exch neg exch translate 1012 2377 a 885 2387 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g (\000)g(\000)-20 b Fv(\021)1012 2377 y grestore 1012 2377 a 1012 2377 a gsave 1012 2377 a 1012 2377 a currentpoint currentpoint translate 0 neg 7515619 atan rotate neg exch neg exch translate 1012 2377 a 1033 2364 a currentpoint currentpoint translate 0 neg 7515619 atan rotate neg exch neg exch translate 1033 2364 a 1003 2358 a Fr(pro)r(j)1033 2377 y grestore 1033 2377 a 774 2471 a gsave 774 2471 a 774 2471 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 774 2471 a 701 2482 a Fw(\000)i(\000)-9 b(\000)g(\000)g(\000)-18 b Fv(\021)774 2471 y grestore 774 2471 a 1250 2471 a gsave 1250 2471 a 1250 2471 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1250 2471 a 1178 2482 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)-16 b Fv(\021)1250 2471 y grestore 1250 2471 a 1250 2471 a gsave 1250 2471 a 1250 2471 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1250 2471 a 1248 2459 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1248 2459 a 10 x Fr(pro)r(j)1248 2471 y grestore 1248 2471 a 1122 2566 a gsave 1122 2566 a 1122 2566 a currentpoint currentpoint translate 0 neg 4036624 atan rotate neg exch neg exch translate 1122 2566 a 1088 2576 a Fw(\000)d(\000)-9 b(\000)g(\000)g(\000)-18 b Fv(\021)1122 2566 y grestore 1122 2566 a 1122 2566 a gsave 1122 2566 a 1122 2566 a currentpoint currentpoint translate 0 neg 4036624 atan rotate neg exch neg exch translate 1122 2566 a 1157 2553 a currentpoint currentpoint translate 0 neg 4036624 atan rotate neg exch neg exch translate 1157 2553 a 1127 2547 a Fr(pro)r(j)1157 2566 y grestore 1157 2566 a 671 2387 a FB(F)15 b Fw(\002)10 b FB(K)i Fw(\002)d FB(U)318 b(K)12 b Fw(\002)e FB(U)639 2576 y(F)15 b Fw(\002)713 2582 y Fu(K)754 2576 y FF(\()p FB(K)e Fw(\002)c FB(U)c FF(\))12 b Fw(\031)g FB(F)j Fw(\002)9 b FB(U)158 b(U)954 2770 y FF(57)p eop %%Page: 58 3 58 57 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)-79 42 y Fr(1)62 b Fx($$)-79 91 y Fr(2)g Fx(\\joined)17 b(\\let\\labe)o(lst)o(yle)o(\\t)o(ext)o(st)o (yle)-79 141 y Fr(3)62 b Fx(\\Graph{3cm)o(,2)o(}{3)o(cm)o(,4})-79 191 y Fr(4)g Fx(\\Line)18 b(\(0,0\))f(\(0,4\))h(<{f\(z,s\)})-79 241 y Fr(5)62 b Fx(\\Line)18 b(\(0,4\))f(\(2,4\))h(^{H\(z,t\)})-79 291 y Fr(6)62 b Fx(\\Line)18 b(\(0,0\))f(\(2,0\))h(_{*})-79 340 y Fr(7)62 b Fx(\\Line)18 b(\(2,0\))f(\(2,4\))-79 390 y Fr(8)62 b Fx(\\Line)18 b(\(0,4\))f(\(2,2\))h(_{\\;\\;H\(z,)o(0\)) e(=)j(f\(z,1\)})e(\\ro)-79 440 y Fr(9)62 b Fx(\\endGraph)-95 490 y Fr(10)f Fx(\\qquad\\qqu)o(ad)-95 540 y Fr(11)g Fx(H'\(z,t,s\))16 b(=)-95 589 y Fr(12)61 b Fx(\\cases{f\(z)o(,2)o(s/\() o(2-)o(t\)\))o(&)17 b(if)h($0\\le)g(2s\\le)g(2)h(-)g(t$\\cr)-95 639 y Fr(13)198 b Fx(\\cr)-95 689 y Fr(14)g Fx(H\(z,2s)18 b(-)h(2)g(+)g(t\)&)g(if)g($2)f(-)i(t\\le)e(2s\\le)f(2$\\cr})-95 739 y Fr(15)61 b Fx($$)263 1012 y gsave 263 1012 a 263 1012 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 263 1012 a 82 1022 a Fw(\000)-17 b(\000)-9 b(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000) -17 b(\000)263 1012 y grestore 263 1012 a 263 1012 a gsave 263 1012 a 263 1012 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 263 1012 a 263 999 a currentpoint currentpoint translate -5594036 neg 0 atan rotate neg exch neg exch translate 263 999 a 147 1009 a FB(f)t FF(\()p FB(z)r(;)7 b(s)p FF(\))263 1012 y grestore 263 1012 a 440 834 a gsave 440 834 a 440 834 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 834 a 259 845 a Fw(\000)-17 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)-17 b(\000)440 834 y grestore 440 834 a 440 834 a gsave 440 834 a 440 834 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 834 a 440 822 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 822 a 378 812 a FB(H)s FF(\()p FB(z)r(;)7 b(t)p FF(\))440 834 y grestore 440 834 a 440 1189 a gsave 440 1189 a 440 1189 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 1189 a 259 1199 a Fw(\000)-17 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)-17 b(\000)440 1189 y grestore 440 1189 a 440 1189 a gsave 440 1189 a 440 1189 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 1189 a 440 1201 a currentpoint currentpoint translate 0 neg 5594038 atan rotate neg exch neg exch translate 440 1201 a 430 1220 a Fw(\003)440 1189 y grestore 440 1189 a 617 1012 a gsave 617 1012 a 617 1012 a currentpoint currentpoint translate 5594036 neg 0 atan rotate neg exch neg exch translate 617 1012 a 436 1022 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)-16 b(\000)617 1012 y grestore 617 1012 a 440 923 a gsave 440 923 a 440 923 a currentpoint currentpoint translate -2797018 neg 5594038 atan rotate neg exch neg exch translate 440 923 a 238 933 a Fw(\000)d(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000) -19 b(\000)440 923 y grestore 440 923 a 440 923 a gsave 440 923 a 440 923 a currentpoint currentpoint translate -2797018 neg 5594038 atan rotate neg exch neg exch translate 440 923 a 300 967 a FB(H)s FF(\()p FB(z)r(;)7 b FF(0\))k(=)h FB(f)t FF(\()p FB(z)r(;)7 b FF(1\))440 923 y grestore 440 923 a 784 1022 a FB(H)822 1005 y Fs(0)833 1022 y FF(\()p FB(z)r(;)g(t;)g(s)p FF(\))k(=)1013 937 y Fq(8)1013 974 y(<)1013 1049 y(:)1057 972 y FB(f)t FF(\()p FB(z)r(;)c FF(2)p FB(s=)p FF(\(2)j Fw(\000)f FB(t)p FF(\)\))53 b(if)13 b(0)e Fw(\024)h FF(2)p FB(s)g Fw(\024)f FF(2)e Fw(\000)h FB(t)1057 1072 y(H)s FF(\()p FB(z)r(;)d FF(2)p FB(s)i Fw(\000)h FF(2)f(+)g FB(t)p FF(\))42 b(if)13 b(2)c Fw(\000)g FB(t)j Fw(\024)g FF(2)p FB(s)f Fw(\024)h FF(2)-79 1471 y Fr(1)62 b Fx($$)-79 1520 y Fr(2)g Fx(\\def\\mod{\\)o(ma)o(thr)o(el)o ({\\b)o(ig/)o(}})-79 1570 y Fr(3)g Fx(\\Dg)-79 1620 y Fr(4)g Fx({\\rm)18 b(Spin}\(3\))f(&)156 b(&)137 b(&)g(&)19 b(SU\(2\))136 b(\\\\)-79 1670 y Fr(5)337 b Fx(&)19 b(\\rdTo)37 b(&)137 b(&)19 b(\\ldTo)293 b(\\\\)-79 1720 y Fr(6)337 b Fx(&)156 b(&)19 b(SO\(3\))450 b(\\\\)-79 1769 y Fr(7)337 b Fx(&)156 b(&)19 b(\\dTo)470 b(\\\\)-79 1819 y Fr(8)62 b Fx(&)19 b(O\(3\)\\mod)e(O\(1\)^3)g(=)i({})g(&)g(SO\(3\)\\mod\()o (O\(1)o(\)^3)o(\\c)o(ap)d(SO\(3\)\))i(\\\\)-79 1869 y Fr(9)62 b Fx(\\endDg)-95 1919 y Fr(10)f Fx($$)1030 2150 y gsave 1030 2150 a 1030 2150 a currentpoint currentpoint translate -2983488 neg 2797019 atan rotate neg exch neg exch translate 1030 2150 a 937 2161 a Fw(\000)-18 b(\000)-9 b(\000)g(\000)g(\000)h(\000)f(\000)-18 b Fv(\021)1030 2150 y grestore 1030 2150 a 1207 2150 a gsave 1207 2150 a 1207 2150 a currentpoint currentpoint translate -2983488 neg -2797019 atan rotate neg exch neg exch translate 1207 2150 a 1114 2161 a Fw(\000)g(\000)-8 b(\000)f(\000)g(\000)g (\000)g(\000)-17 b Fv(\021)1207 2150 y grestore 1207 2150 a 1119 2339 a gsave 1119 2339 a 1119 2339 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1119 2339 a 1053 2350 a Fw(\000)k(\000)k(\000)g(\000)d Fv(\021)1119 2339 y grestore 1119 2339 a 875 2066 a FF(Spin)o(\(3\))231 b FB(S)r(U)5 b FF(\(2\))1062 2255 y FB(S)r(O)q FF(\(3\))597 2444 y FB(O)q FF(\(3\))695 2411 y Fq(\016)730 2444 y FB(O)q FF(\(1\))816 2427 y Fr(3)846 2444 y FF(=)12 b FB(S)r(O)q FF(\(3\))1015 2411 y Fq(\016)1051 2444 y FF(\()p FB(O)q FF(\(1\))1153 2427 y Fr(3)1181 2444 y Fw(\\)d FB(S)r(O)q FF(\(3\)\))954 2770 y(58)p eop %%Page: 59 4 59 58 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(S.)16 b(Mac)g(Lane)p FF(,)d FC(Cate)n(gories)h(for)g(the)h(Working)h(Mathematician)p FF(,)e(page)g(109.)-79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\def\\cod{{)o(\\r)o(m)17 b(cod}\\,})g(\\def\\dom)o({{\\)o (rm)f(dom}\\,})-79 232 y Fr(3)62 b Fx(\\cellwidth)o(+=)o(2mm)-79 282 y Fr(4)g Fx(\\Dg)-79 332 y Fr(5)g Fx(&)19 b(F)g(&)h(_{\\cod)d(u})i (&)g(\\rEq)136 b(&)19 b(F)g(&)g(_{\\cod)f(u})h(&)97 b(&)255 b(&)19 b(F_i)293 b(\\\\)-79 382 y Fr(6)62 b Fx(&)19 b(\\uTo)f(>{p_u})g (&)h(&)235 b(&)19 b(\\uTo)f(&)157 b(&)97 b(&)20 b(\\ruTo)d(<{p_i})h (\\tx{-5pt)o(})f(&)-79 432 y Fr(7)1376 b Fx(\\uDashto)17 b(>{\\mu_i})f(\\\\)-79 482 y Fr(8)62 b Fx({\\mit\\Pi}_)o({u)o(:j\\)o (to)16 b(k}F_k)i(=)h({\\mit\\Pi})o(_u)d(&)-79 531 y Fr(9)101 b Fx(F)19 b(&)h(_{\\cod)d(u})i(&)g(\\lTo)f(^f)h(\\up{3pt})d(\\lTo)j(_g) f(\\up{-3pt})-95 581 y Fr(10)630 b Fx(&)19 b({\\mit\\Pi}_)o(i)d(&)k(&)f (F_i)f(&)i(\\lDashto)c(^e)j(&)g(d)333 b(\\\\)-95 631 y Fr(11)61 b Fx(&)19 b(\\dTo)f(>{p_u})g(&)h(&)235 b(&)19 b(\\dTo)f(>{p_{\\dom)e(u}})705 b(\\\\)-95 681 y Fr(12)61 b Fx(&)19 b(F)g(&)h(_{\\cod)d(u})i(&)g(\\lTo)f(^{Fu})g(&)h(F)g(&)g (_{\\dom)f(u})803 b(\\\\)-95 731 y Fr(13)61 b Fx(\\endDg)-95 780 y Fr(14)g Fx($$)1018 915 y gsave 1018 915 a 1018 915 a currentpoint currentpoint translate 0 neg 3793467 atan rotate neg exch neg exch translate 1018 915 a 1013 925 a FF(=)1018 915 y grestore 1018 915 a 842 1009 a gsave 842 1009 a 842 1009 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 842 1009 a 774 1019 a Fw(\000)-15 b(\000)-9 b(\000)g(\000)g(\000)-15 b Fv(\021)842 1009 y grestore 842 1009 a 842 1009 a gsave 842 1009 a 842 1009 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 842 1009 a 846 1022 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 846 1022 a 10 x Fu(p)863 1036 y Fe(u)846 1009 y grestore 846 1009 a 1138 1009 a gsave 1138 1009 a 1138 1009 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1138 1009 a 1070 1019 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)-15 b Fv(\021)1138 1009 y grestore 1138 1009 a 1276 1009 a gsave 1276 1009 a 1276 1009 a currentpoint currentpoint translate 2983488 neg 3615060 atan rotate neg exch neg exch translate 1276 1009 a 1164 1019 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)-20 b Fv(\021)1276 1009 y grestore 1276 1009 a 1276 1009 a gsave 1276 1009 a 1276 1009 a currentpoint currentpoint translate 2983488 neg 3615060 atan rotate neg exch neg exch translate 1276 1009 a 1277 997 a currentpoint currentpoint translate -2983488 neg 3615060 atan rotate neg exch neg exch translate 1277 997 a 1247 991 a Fu(p)1264 995 y Fe(i)1277 1009 y grestore 1277 1009 a 1391 1009 a gsave 1391 1009 a 1391 1009 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1391 1009 a 1327 1019 a Fv(\013)-9 b(\013)g(\013)g(\013)g(\013)-14 b(\014)1391 1009 y grestore 1391 1009 a 1391 1009 a gsave 1391 1009 a 1391 1009 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1391 1009 a 1392 1022 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1392 1022 a 10 x Fu(\026)1412 1036 y Fe(i)1392 1009 y grestore 1392 1009 a 1018 1091 a gsave 1018 1091 a 1018 1091 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1091 a 930 1102 a Fw(\000)-19 b(\000)-9 b(\000)g(\000)g(\000)g(\000)-18 b Fv(\021)1018 1091 y grestore 1018 1091 a 1018 1091 a gsave 1018 1091 a 1018 1091 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1091 a 1011 1104 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1011 1104 a 1001 1098 a Fu(f)1011 1091 y grestore 1011 1091 a 1018 1116 a gsave 1018 1116 a 1018 1116 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1116 a 930 1126 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g(\000) -18 b Fv(\021)1018 1116 y grestore 1018 1116 a 1018 1116 a gsave 1018 1116 a 1018 1116 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1116 a 1011 1104 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1011 1104 a 1002 1116 a Fu(g)1011 1116 y grestore 1011 1116 a 1286 1104 a gsave 1286 1104 a 1286 1104 a currentpoint currentpoint translate 0 neg -3287380 atan rotate neg exch neg exch translate 1286 1104 a 1205 1114 a Fv(\013)-9 b(\013)g(\013)g(\013)h(\013)f(\013)-14 b(\014)1286 1104 y grestore 1286 1104 a 1286 1104 a gsave 1286 1104 a 1286 1104 a currentpoint currentpoint translate 0 neg -3287380 atan rotate neg exch neg exch translate 1286 1104 a 1281 1116 a currentpoint currentpoint translate 0 neg -3287380 atan rotate neg exch neg exch translate 1281 1116 a -8 w Fu(e)1281 1104 y grestore 1281 1104 a 842 1198 a gsave 842 1198 a 842 1198 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 842 1198 a 767 1208 a Fw(\000)e(\000)-9 b(\000)g(\000)g(\000)-15 b Fv(\021)842 1198 y grestore 842 1198 a 842 1198 a gsave 842 1198 a 842 1198 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 842 1198 a 838 1186 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 838 1186 a 10 x Fu(p)855 1200 y Fe(u)838 1198 y grestore 838 1198 a 1138 1198 a gsave 1138 1198 a 1138 1198 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1138 1198 a 1068 1208 a Fw(\000)d(\000)-9 b(\000)g(\000)g(\000)-18 b Fv(\021)1138 1198 y grestore 1138 1198 a 1138 1198 a gsave 1138 1198 a 1138 1198 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1138 1198 a 1137 1186 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1137 1186 a 10 x Fu(p)1154 1200 y Fp(dom)t Fe(u)1137 1198 y grestore 1137 1198 a 1018 1293 a gsave 1018 1293 a 1018 1293 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1293 a 922 1303 a Fw(\000)j(\000)-9 b(\000)g(\000)g(\000)g(\000) -14 b Fv(\021)1018 1293 y grestore 1018 1293 a 1018 1293 a gsave 1018 1293 a 1018 1293 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1018 1293 a 1007 1305 a currentpoint currentpoint translate 0 neg -3793467 atan rotate neg exch neg exch translate 1007 1305 a -23 w Fu(F)t(u)1007 1293 y grestore 1007 1293 a 826 925 a FB(F)859 931 y Fr(co)q(d)5 b Fu(u)1122 925 y FB(F)1160 931 y Fr(co)q(d)g Fu(u)1370 925 y FB(F)1397 931 y Fu(i)539 1114 y FB(\005)574 1120 y Fu(u)p Fr(:)p Fu(j)r Fh(\021)p Fu(k)668 1114 y FB(F)695 1120 y Fu(k)726 1114 y FF(=)12 b FB(\005)805 1120 y Fu(u)826 1114 y FB(F)859 1120 y Fr(co)q(d)5 b Fu(u)1114 1114 y FB(\005)1149 1120 y Fu(i)1162 1114 y FB(F)1189 1120 y Fu(i)1380 1114 y FB(d)826 1303 y(F)859 1309 y Fr(co)q(d)g Fu(u)1122 1303 y FB(F)1154 1309 y Fr(dom)h Fu(u)0 1670 y FH(S.)16 b(Mac)g(Lane)p FF(,)d FC(Cate)n(gories)h(for)g(the)h(Working)h(Mathematician)p FF(,)e(page)g(117.)-79 1761 y Fr(1)62 b Fx($$)-79 1811 y Fr(2)g Fx(\\Dg)-79 1861 y Fr(3)g Fx(u)215 b(&)20 b(\\rTo)e(^{e_1})56 b(&)19 b(v)137 b(&)20 b(&)f(\\rTo)f(\\up{3pt})e(^f)j(\\rTo)f (\\up{-3pt})e(_g)j(&)g(d)79 b(\\\\)-79 1911 y Fr(4)62 b Fx(\\uDashto)17 b(>s)h(&)294 b(&)19 b(\\dTo)f(>e)h(&)373 b(&)352 b(&)19 b(\\uTo)g(\\\\)-79 1961 y Fr(5)62 b Fx(w)215 b(&)20 b(\\rTo)e(^{ee_1s})e(&)j(w)137 b(&)20 b({})e(=)i({\\mit\\Pi})o (k_)o(i)d(&)i(\\rTo)253 b(&)19 b(k_i)39 b(\\\\)-79 2010 y Fr(6)62 b Fx(\\endDg)-79 2060 y Fr(7)g Fx($$)812 2195 y gsave 812 2195 a 812 2195 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 812 2195 a 740 2205 a Fw(\000)-15 b(\000)-9 b(\000)g(\000)g(\000)-14 b Fv(\021)812 2195 y grestore 812 2195 a 812 2195 a gsave 812 2195 a 812 2195 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 812 2195 a 813 2182 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 813 2182 a 797 2178 a Fu(e)813 2182 y Fp(1)813 2195 y grestore 813 2195 a 1066 2182 a gsave 1066 2182 a 1066 2182 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2182 a 924 2193 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g(\000)g (\000)g(\000)h(\000)f(\000)g(\000)-14 b Fv(\021)1066 2182 y grestore 1066 2182 a 1066 2182 a gsave 1066 2182 a 1066 2182 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2182 a 1066 2170 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2170 a 1056 2164 a Fu(f)1066 2182 y grestore 1066 2182 a 1066 2207 a gsave 1066 2207 a 1066 2207 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2207 a 924 2218 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g(\000) g(\000)g(\000)h(\000)f(\000)g(\000)-14 b Fv(\021)1066 2207 y grestore 1066 2207 a 1066 2207 a gsave 1066 2207 a 1066 2207 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2207 a 1066 2220 a currentpoint currentpoint translate 0 neg 5101974 atan rotate neg exch neg exch translate 1066 2220 a 1057 2232 a Fu(g)1066 2207 y grestore 1066 2207 a 720 2289 a gsave 720 2289 a 720 2289 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 720 2289 a 642 2300 a Fv(\013)-9 b(\013)g(\013)g(\013)g(\013)g(\013)-16 b(\014)720 2289 y grestore 720 2289 a 720 2289 a gsave 720 2289 a 720 2289 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 720 2289 a 719 2302 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 719 2302 a 10 x Fu(s)719 2289 y grestore 719 2289 a 904 2289 a gsave 904 2289 a 904 2289 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 904 2289 a 829 2300 a Fw(\000)-22 b(\000)-9 b(\000)g(\000)g(\000)g(\000)-21 b Fv(\021)904 2289 y grestore 904 2289 a 904 2289 a gsave 904 2289 a 904 2289 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 904 2289 a 905 2277 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 905 2277 a 10 x Fu(e)905 2289 y grestore 905 2289 a 1228 2289 a gsave 1228 2289 a 1228 2289 a currentpoint currentpoint translate 2983488 neg 0 atan rotate neg exch neg exch translate 1228 2289 a 1160 2300 a Fw(\000)-16 b(\000)-9 b(\000)g(\000)g(\000)-15 b Fv(\021)1228 2289 y grestore 1228 2289 a 812 2384 a gsave 812 2384 a 812 2384 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 812 2384 a 744 2394 a Fw(\000)c(\000)-9 b(\000)g(\000)g(\000)-19 b Fv(\021)812 2384 y grestore 812 2384 a 812 2384 a gsave 812 2384 a 812 2384 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 812 2384 a 812 2371 a currentpoint currentpoint translate 0 neg 2910900 atan rotate neg exch neg exch translate 812 2371 a 780 2367 a Fu(ee)812 2371 y Fp(1)828 2367 y Fu(s)812 2384 y grestore 812 2384 a 1110 2384 a gsave 1110 2384 a 1110 2384 a currentpoint currentpoint translate 0 neg 3719362 atan rotate neg exch neg exch translate 1110 2384 a 1065 2394 a Fw(\000)g(\000)-10 b(\000)i(\000)f(\000)-19 b Fv(\021)1110 2384 y grestore 1110 2384 a 708 2205 a FB(u)162 b(v)303 b(d)705 2394 y(w)154 b(w)20 b FF(=)12 b FB(\005)s(k)1043 2400 y Fu(i)1210 2394 y FB(k)1232 2400 y Fu(i)954 2770 y FF(59)p eop %%Page: 60 5 60 59 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(S.)16 b(Mac)g(Lane)g(and)f(I.)h (Mo)q(erdijk)p FF(,)c FC(She)n(aves)k(In)f(Ge)n(ometry)g(and)g(L)n(o)n (gic)p FF(,)f(page)f(232.)-79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\cellwidth)o(+=)o(3mm)-79 232 y Fr(3)g Fx(\\Dg)-79 282 y Fr(4)g Fx(Y)117 b(&)20 b(\\rMono)d(^y)i(&)g(A)333 b(&)19 b(\\rLine)e(\\jh)i(&)g(\\stop)312 b(\\\\)-79 332 y Fr(5)62 b Fx(\\dEpi)37 b(&)216 b(&)19 b(\\dEpi)253 b(&)235 b(&)19 b(\\mx{-1cm})232 b(\\\\)-79 382 y Fr(6)62 b Fx(D)117 b(&)20 b(\\rMono)d(^d)i(&)g(i_A\(A\))233 b(&)i(&)19 b(\\dLine)e(>{\\eta_A})g(\\jn)h(\\\\)-79 432 y Fr(7)62 b Fx(\\dMono)17 b(&)216 b(&)19 b(\\dMono)939 b(\\\\)-79 482 y Fr(8)62 b Fx(X)117 b(&)20 b(\\rMono)d(_x)i(&)g(\\overline)o({i_)o (A\()o(A\)})d(&)j(\\lTo)f(\\jt)58 b(&)19 b(\\stop)312 b(\\\\)-79 531 y Fr(9)62 b Fx(\\endDg)-95 581 y Fr(10)f Fx($$)923 715 y gsave 923 715 a 923 715 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 715 a 818 726 a Fv(\016)-10 b Fw(\000)h(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-14 b Fv(\021)923 715 y grestore 923 715 a 923 715 a gsave 923 715 a 923 715 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 715 a 924 703 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 924 703 a 915 697 a Fu(y)924 715 y grestore 924 715 a 1115 715 a gsave 1115 715 a 1115 715 a currentpoint currentpoint translate 0 neg 1945767 atan rotate neg exch neg exch translate 1115 715 a 1077 726 a Fw(\000)-20 b(\000)-9 b(\000)g(\000)-19 b(\000)1115 715 y grestore 1115 715 a 793 810 a gsave 793 810 a 793 810 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 793 810 a 717 820 a Fw(\000)j(\000)-9 b(\000)g(\000)g(\000)-15 b Fv(\021)-30 b(\014)793 810 y grestore 793 810 a 1053 810 a gsave 1053 810 a 1053 810 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1053 810 a 977 820 a Fw(\000)-17 b(\000)-9 b(\000)g(\000)g(\000)-16 b Fv(\021)-30 b(\014)1053 810 y grestore 1053 810 a 923 904 a gsave 923 904 a 923 904 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 904 a 819 915 a Fv(\016)-18 b Fw(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000) -21 b Fv(\021)923 904 y grestore 923 904 a 923 904 a gsave 923 904 a 923 904 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 904 a 906 892 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 906 892 a -9 w Fu(d)906 904 y grestore 906 904 a 1176 904 a gsave 1176 904 a 1176 904 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1176 904 a 983 915 a Fw(\000)k(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-16 b(\000)1176 904 y grestore 1176 904 a 1176 904 a gsave 1176 904 a 1176 904 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1176 904 a 1176 892 a currentpoint currentpoint translate 5966976 neg 0 atan rotate neg exch neg exch translate 1176 892 a 10 x Fu(\021)1193 906 y Fe(A)1176 904 y grestore 1176 904 a 793 999 a gsave 793 999 a 793 999 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 793 999 a 717 1009 a Fv(\016)-9 b Fw(\000)g(\000)g(\000)g (\000)c Fv(\021)793 999 y grestore 793 999 a 1053 999 a gsave 1053 999 a 1053 999 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1053 999 a 987 1009 a Fv(\016)-8 b Fw(\000)f(\000)g(\000)d Fv(\021)1053 999 y grestore 1053 999 a 923 1093 a gsave 923 1093 a 923 1093 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 1093 a 820 1104 a Fv(\016)-18 b Fw(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)-22 b Fv(\021)923 1093 y grestore 923 1093 a 923 1093 a gsave 923 1093 a 923 1093 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 923 1093 a 906 1106 a currentpoint currentpoint translate 0 neg 4107633 atan rotate neg exch neg exch translate 906 1106 a 897 1118 a Fu(x)906 1093 y grestore 906 1093 a 1115 1093 a gsave 1115 1093 a 1115 1093 a currentpoint currentpoint translate 0 neg -1945767 atan rotate neg exch neg exch translate 1115 1093 a 1049 1104 a Fw(\000)i(\000)h Fv(\021)1115 1093 y grestore 1115 1093 a 776 726 a FB(Y)237 b(A)775 915 y(D)191 b(i)1014 921 y Fu(A)1042 915 y FF(\()p FB(A)p FF(\))774 1104 y FB(X)p 1000 1068 105 2 v 192 w(i)1014 1110 y Fu(A)1042 1104 y FF(\()p FB(A)p FF(\))0 1325 y FH(K.)17 b(S.)e(Bro)o(wn)p FF(,)e FC(Cohomolo)n(gy)i(of)g(Gr)n(oups)p FF(,)e(page)h(280.)-79 1417 y Fr(1)62 b Fx($$)-79 1467 y Fr(2)g Fx(\\let\\^\\wid)o(eh)o(at)16 b(\\let\\~\\wid)o(eti)o(ld)o(e)-79 1516 y Fr(3)62 b Fx(\\flexible)16 b(\\columndis)o(t=1)o(cm)-79 1566 y Fr(4)62 b Fx(\\xgrid+=2m)o(m)16 b(\\ygrid+=-2m)o(m)-79 1616 y Fr(5)62 b Fx(\\Diagram)-79 1666 y Fr(6)219 b Fx(&)176 b(&)g(&)157 b(&H^0)18 b(\\bTo\(-1,-)o(4\))e (\\hx{-2pt})-79 1716 y Fr(7)945 b Fx(&\\cdots)36 b(&H^{n-1})g(&H^n)i (&H^{n+1})e(&H^{n+2})17 b(&\\cdots)g(\\\\)-79 1765 y Fr(8)62 b Fx(\\mx{5mm}&)173 b(&)j(&)157 b(&\\dTo)57 b(&)156 b(&\\dTo)96 b(&\\dEpi&\\dB)o(ar)75 b(&\\dBar)17 b(&\\mx{-2mm}\\)o(\\) -79 1815 y Fr(9)62 b Fx(\\cdots)37 b(&\\^H^{-3})16 b(&\\^H^{-2})g (&\\^H^{-1}&)o(\\^H)o(^0)36 b(&\\cdots)g(&\\^H^{n-1})o(&\\^)o(H^)o (n&\\)o(^H)o(^{n)o(+1)o(}&\\)o(^H^)o({n)o(+2})o(&\\)o(cdo)o(ts\\)o(\\) -95 1865 y Fr(10)218 b Fx(&\\dBar)76 b(&\\dBar)g(&\\dInto)37 b(&\\dTo)57 b(&)156 b(&\\dTo)18 b(\\dx{-2mm})546 b(\\\\)-95 1915 y Fr(11)61 b Fx(\\cdots)37 b(&\\~H_{n+2)o(}&\\)o(~H_)o({n)o(+1})o (&\\)o(~H_)o(n)56 b(&\\~H_{n-1)o(}&)o(\\cd)o(ots)o(&\\)o(~H_)o(0)16 b(\\aTo\(1,4\))h(\\hx{-2pt)o(})331 b(\\\\)-95 1965 y Fr(12)61 b Fx(\\endDiagra)o(m)-95 2014 y Fr(13)g Fx($$)752 2345 y gsave 752 2345 a 752 2345 a currentpoint currentpoint translate 5966976 neg 2106542 atan rotate neg exch neg exch translate 752 2345 a 592 2356 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)-20 b Fv(\021)752 2345 y grestore 752 2345 a 827 2251 a gsave 827 2251 a 827 2251 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 827 2251 a 752 2261 a Fw(\000)e(\000)-9 b(\000)g(\000)g(\000)-21 b Fv(\021)827 2251 y grestore 827 2251 a 1087 2251 a gsave 1087 2251 a 1087 2251 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1087 2251 a 1011 2261 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)-21 b Fv(\021)1087 2251 y grestore 1087 2251 a 1229 2251 a gsave 1229 2251 a 1229 2251 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1229 2251 a 1153 2261 a Fw(\000)f(\000)-9 b(\000)g(\000)h(\000)-21 b Fv(\021)-30 b(\014)1229 2251 y grestore 1229 2251 a 1371 2251 a gsave 1371 2251 a 1371 2251 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1371 2251 a 1295 2261 a FF(=)-17 b(=)-9 b(=)g(=)g(=)-17 b(=)1371 2251 y grestore 1371 2251 a 1512 2251 a gsave 1512 2251 a 1512 2251 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1512 2251 a 1437 2261 a FF(=)f(=)-9 b(=)h(=)f(=)-17 b(=)1512 2251 y grestore 1512 2251 a 402 2440 a gsave 402 2440 a 402 2440 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 402 2440 a 326 2450 a FF(=)g(=)-9 b(=)g(=)g(=)-16 b(=)402 2440 y grestore 402 2440 a 544 2440 a gsave 544 2440 a 544 2440 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 544 2440 a 468 2450 a FF(=)f(=)-9 b(=)g(=)g(=)-16 b(=)544 2440 y grestore 544 2440 a 686 2440 a gsave 686 2440 a 686 2440 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 686 2440 a 610 2450 a FB(,)-7 b Fw(\000)-13 b(\000)k(\000)g(\000)d Fv(\021)686 2440 y grestore 686 2440 a 827 2440 a gsave 827 2440 a 827 2440 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 827 2440 a 752 2450 a Fw(\000)-22 b(\000)-9 b(\000)g(\000)g (\000)-21 b Fv(\021)827 2440 y grestore 827 2440 a 1087 2440 a gsave 1087 2440 a 1087 2440 a currentpoint currentpoint translate -2983488 neg 0 atan rotate neg exch neg exch translate 1087 2440 a 1011 2450 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)-21 b Fv(\021)1087 2440 y grestore 1087 2440 a 1154 2345 a gsave 1154 2345 a 1154 2345 a currentpoint currentpoint translate 5966976 neg 2106542 atan rotate neg exch neg exch translate 1154 2345 a 994 2356 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)h(\000)f(\000)-20 b Fv(\021)1154 2345 y grestore 1154 2345 a 799 2167 a FB(H)837 2149 y Fr(0)945 2167 y Fw(\001)7 b(\001)g(\001)41 b FB(H)1074 2149 y Fu(n)p Fs(\000)p Fr(1)1199 2167 y FB(H)1237 2149 y Fu(n)1319 2167 y FB(H)1357 2149 y Fu(n)p Fr(+1)1461 2167 y FB(H)1499 2149 y Fu(n)p Fr(+2)1606 2167 y Fw(\001)7 b(\001)g(\001)295 2356 y(\001)g(\001)g(\001)371 2345 y Fq(b)361 2356 y FB(H)399 2338 y Fs(\000)p Fr(3)512 2345 y Fq(b)503 2356 y FB(H)541 2338 y Fs(\000)p Fr(2)654 2345 y Fq(b)644 2356 y FB(H)682 2338 y Fs(\000)p Fr(1)809 2345 y Fq(b)799 2356 y FB(H)837 2338 y Fr(0)945 2356 y Fw(\001)g(\001)g(\001)1045 2345 y Fq(b)1036 2356 y FB(H)1074 2338 y Fu(n)p Fs(\000)p Fr(1)1208 2345 y Fq(b)1199 2356 y FB(H)1237 2338 y Fu(n)1329 2345 y Fq(b)1319 2356 y FB(H)1357 2338 y Fu(n)p Fr(+1)1471 2345 y Fq(b)1461 2356 y FB(H)1499 2338 y Fu(n)p Fr(+2)1606 2356 y Fw(\001)g(\001)g(\001)295 2545 y(\001)g(\001)g(\001)362 2534 y Fq(e)353 2545 y FB(H)388 2551 y Fu(n)p Fr(+2)504 2534 y Fq(e)494 2545 y FB(H)529 2551 y Fu(n)p Fr(+1)667 2534 y Fq(e)657 2545 y FB(H)692 2551 y Fu(n)787 2534 y Fq(e)778 2545 y FB(H)813 2551 y Fu(n)p Fs(\000)p Fr(1)945 2545 y Fw(\001)g(\001)g(\001)1070 2534 y Fq(e)1061 2545 y FB(H)1096 2551 y Fr(0)954 2770 y FF(60)p eop %%Page: 61 6 61 60 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(George)15 b(W.)h(Whitehead)p FF(,)11 b FC(Elements)k(of)g(Homotopy)g(The)n(ory)p FF(,)e(page)h(592.) -79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\def\\T{{\\b)o(f)16 b(T}})j(\\def\\S{{\\)o(bf)d(S}})-79 232 y Fr(3)62 b Fx(\\landscape)16 b(\\let\\labe)o(lst)o(yl)o(e\\t)o(ex)o(tst)o(yl)o(e)-79 282 y Fr(4)62 b Fx(\\cellpush=)o(10)o(pt)16 b(\\xscale=2.)o(2)-79 332 y Fr(5)62 b Fx(\\Diagram)-79 382 y Fr(6)199 b Fx(&)353 b(&)19 b(H_n\(X^+\\cu)o(p\\T)d(A^+,)i(X^+\))g(&)-79 432 y Fr(7)121 b Fx(\\lTo)18 b(^{H_n\(k_1)o(\)})e(&)157 b(&)19 b(H_n\(\\T)e(A^+,A^+\))-79 482 y Fr(8)670 b Fx(\\aTo)18 b(\(-3,-2\))f(_{H_n\(p_1\))o(})-79 531 y Fr(9)670 b Fx(\\aTo)18 b(\(3,-4\))f(^{\\partial_)o(1})369 b(\\\\)-95 581 y Fr(10)198 b Fx(&)353 b(&)19 b(\\dTo)f(>{H_n{q_1})o(})605 b(\\\\)-95 631 y Fr(11)198 b Fx(&)353 b(&)19 b(H_n\(\\S)e(A^+,P\))214 b(&)-95 681 y Fr(12)453 b Fx(&)157 b(&)19 b(*)g(\\dx{.7})684 b(\\\\)-95 731 y Fr(13)198 b Fx(&)20 b(\\ruTo)d(_{H_n\(q_4\))o(})g (\\tx{15pt)o(})-95 780 y Fr(14)571 b Fx(&)19 b(\\uTo)f(>{H_n\(t\)})644 b(\\\\)-95 830 y Fr(15)61 b Fx(H_n\(X^+\\cu)o(p\\)o(T)17 b(A^+,P\))g(\\aTo)h(\(2,4\))37 b(^{H_n\(j_1\))o(})17 b(\\tx{15pt})-95 880 y Fr(16)473 b Fx(\\aTo)18 b(\(2,-4\))f (_{H_n\(j_2\))o(})g(\\tx{15pt})-95 930 y Fr(17)198 b Fx(&)59 b(&)f(&)78 b(&)157 b(&)58 b(&)19 b(H_{n-1}\(A\))d(&)-95 980 y Fr(18)787 b Fx(\\rTo)18 b(^{H_{n-1})o(\(i_)o(A\))o(})f(&)i (H_{n-1}\(A)o(^+,)o(P\))d(\\\\)-95 1029 y Fr(19)198 b Fx(&)20 b(\\rdTo)d(^{H_n\(q_2\))o(})g(\\tx{15pt)o(})-95 1079 y Fr(20)571 b Fx(&)490 b(&)19 b(&)g(&)h(\\ruTo)233 b(\\\\)-95 1129 y Fr(21)198 b Fx(&)353 b(&)19 b(H_n\(X^+/A^)o(+,P)o(\)) 193 b(&)-95 1179 y Fr(22)100 b Fx(\\lTo)18 b(^{P_n\(X,A\))o(})36 b(&)20 b(H_n\(X,A\))-95 1229 y Fr(23)493 b Fx(\\aTo)18 b(\(1,-2\))f(>{H_n\(i_X)o(\)})585 b(\\\\)-95 1279 y Fr(24)198 b Fx(&)353 b(&)19 b(\\uTo)f(>{H_n\(q_3\))o(})605 b(\\\\)-95 1328 y Fr(25)198 b Fx(&)353 b(&)19 b(H_n\(X^+\\cu)o(p\\T)d(A^+,\\T)h (A^+\)&)-95 1378 y Fr(26)100 b Fx(\\lTo)18 b(_{H_n\(k_2\))o(})f(&)i(&)g (H_n\(X^+,A^)o(+\))-95 1428 y Fr(27)512 b Fx(\\aTo)18 b(\(3,4\))g(_{\\partia)o(l_2)o(})-95 1478 y Fr(28)512 b Fx(\\aTo)18 b(\(-3,2\))f(_{H_n\(p_X\)})565 b(\\\\)-95 1528 y Fr(29)61 b Fx(\\endDiagra)o(m)-95 1577 y Fr(30)g Fx($$)954 2770 y FF(61)p eop %%Page: 62 7 62 61 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)1491 2502 y gsave 1491 2502 a 1491 2502 a currentpoint currentpoint translate 90 neg rotate neg exch neg exch translate 1491 2502 a 2593 1516 a gsave 2593 1516 a 2593 1516 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2593 1516 a 2374 1526 a Fw(\000)-14 b(\000)-9 b(\000)h(\000)f(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)c Fv(\021)2593 1516 y grestore 2593 1516 a 2593 1516 a gsave 2593 1516 a 2593 1516 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2593 1516 a 2564 1528 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2564 1528 a 2499 1518 a FB(H)2534 1524 y Fu(n)2556 1518 y FF(\()p FB(k)2594 1524 y Fr(1)2612 1518 y FF(\))2564 1516 y grestore 2564 1516 a 2593 1634 a gsave 2593 1634 a 2593 1634 a currentpoint currentpoint translate -3729358 neg -12306864 atan rotate neg exch neg exch translate 2593 1634 a 2298 1644 a Fw(\000)-19 b(\000)-9 b(\000)g(\000)g(\000)g(\000)h(\000)f(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)h(\000)f(\000)-19 b Fv(\021)2593 1634 y grestore 2593 1634 a 2593 1634 a gsave 2593 1634 a 2593 1634 a currentpoint currentpoint translate -3729358 neg -12306864 atan rotate neg exch neg exch translate 2593 1634 a 2586 1622 a currentpoint currentpoint translate 3729358 neg -12306864 atan rotate neg exch neg exch translate 2586 1622 a 31 x FB(H)2621 1659 y Fu(n)2643 1653 y FF(\()p FB(p)2680 1659 y Fr(1)2699 1653 y FF(\))2586 1634 y grestore 2586 1634 a 3281 1752 a gsave 3281 1752 a 3281 1752 a currentpoint currentpoint translate -7458716 neg 9435275 atan rotate neg exch neg exch translate 3281 1752 a 2975 1763 a Fw(\000)k(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)-14 b Fv(\021)3281 1752 y grestore 3281 1752 a 3281 1752 a gsave 3281 1752 a 3281 1752 a currentpoint currentpoint translate -7458716 neg 9435275 atan rotate neg exch neg exch translate 3281 1752 a 3278 1740 a currentpoint currentpoint translate 7458716 neg 9435275 atan rotate neg exch neg exch translate 3278 1740 a -6 x FB(@)3300 1740 y Fr(1)3278 1752 y grestore 3278 1752 a 2203 1634 a gsave 2203 1634 a 2203 1634 a currentpoint currentpoint translate -3729358 neg 0 atan rotate neg exch neg exch translate 2203 1634 a 2147 1644 a Fw(\000)-22 b(\000)-9 b(\000)g(\000)-22 b Fv(\021)2203 1634 y grestore 2203 1634 a 2203 1634 a gsave 2203 1634 a 2203 1634 a currentpoint currentpoint translate -3729358 neg 0 atan rotate neg exch neg exch translate 2203 1634 a 2201 1622 a currentpoint currentpoint translate 3729358 neg 0 atan rotate neg exch neg exch translate 2201 1622 a 10 x FB(H)2236 1638 y Fu(n)2258 1632 y FB(q)2277 1638 y Fr(1)2201 1634 y grestore 2201 1634 a 1974 1870 a gsave 1974 1870 a 1974 1870 a currentpoint currentpoint translate 3729358 neg 7221536 atan rotate neg exch neg exch translate 1974 1870 a 1812 1881 a Fw(\000)-13 b(\000)k(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)d Fv(\021)1974 1870 y grestore 1974 1870 a 1974 1870 a gsave 1974 1870 a 1974 1870 a currentpoint currentpoint translate 3729358 neg 7221536 atan rotate neg exch neg exch translate 1974 1870 a 1978 1883 a currentpoint currentpoint translate -3729358 neg 7221536 atan rotate neg exch neg exch translate 1978 1883 a 31 x FB(H)2013 1920 y Fu(n)2036 1914 y FF(\()p FB(q)2071 1920 y Fr(4)2089 1914 y FF(\))1978 1870 y grestore 1978 1870 a 2203 1988 a gsave 2203 1988 a 2203 1988 a currentpoint currentpoint translate 7458716 neg 0 atan rotate neg exch neg exch translate 2203 1988 a 2033 1999 a Fw(\000)-19 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-18 b Fv(\021)2203 1988 y grestore 2203 1988 a 2203 1988 a gsave 2203 1988 a 2203 1988 a currentpoint currentpoint translate 7458716 neg 0 atan rotate neg exch neg exch translate 2203 1988 a 2205 2001 a currentpoint currentpoint translate -7458716 neg 0 atan rotate neg exch neg exch translate 2205 2001 a 10 x FB(H)2240 2017 y Fu(n)2262 2011 y FF(\()p FB(t)p FF(\))2205 1988 y grestore 2205 1988 a 1974 1752 a gsave 1974 1752 a 1974 1752 a currentpoint currentpoint translate 7458716 neg 7221536 atan rotate neg exch neg exch translate 1974 1752 a 1722 1763 a Fw(\000)h(\000)-9 b(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)-16 b Fv(\021)1974 1752 y grestore 1974 1752 a 1974 1752 a gsave 1974 1752 a 1974 1752 a currentpoint currentpoint translate 7458716 neg 7221536 atan rotate neg exch neg exch translate 1974 1752 a 1977 1740 a currentpoint currentpoint translate -7458716 neg 7221536 atan rotate neg exch neg exch translate 1977 1740 a 1852 1729 a FB(H)1887 1735 y Fu(n)1909 1729 y FF(\()p FB(j)1942 1735 y Fr(1)1961 1729 y FF(\))1977 1752 y grestore 1977 1752 a 1974 2225 a gsave 1974 2225 a 1974 2225 a currentpoint currentpoint translate -7458716 neg 7221536 atan rotate neg exch neg exch translate 1974 2225 a 1716 2235 a Fw(\000)f(\000)-9 b(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)-16 b Fv(\021)1974 2225 y grestore 1974 2225 a 1974 2225 a gsave 1974 2225 a 1974 2225 a currentpoint currentpoint translate -7458716 neg 7221536 atan rotate neg exch neg exch translate 1974 2225 a 1971 2237 a currentpoint currentpoint translate 7458716 neg 7221536 atan rotate neg exch neg exch translate 1971 2237 a 1847 2268 a FB(H)1882 2274 y Fu(n)1904 2268 y FF(\()p FB(j)1937 2274 y Fr(2)1956 2268 y FF(\))1971 2225 y grestore 1971 2225 a 3320 1988 a gsave 3320 1988 a 3320 1988 a currentpoint currentpoint translate 0 neg 8204576 atan rotate neg exch neg exch translate 3320 1988 a 3184 1999 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)-15 b Fv(\021)3320 1988 y grestore 3320 1988 a 3320 1988 a gsave 3320 1988 a 3320 1988 a currentpoint currentpoint translate 0 neg 8204576 atan rotate neg exch neg exch translate 3320 1988 a 3300 1976 a currentpoint currentpoint translate 0 neg 8204576 atan rotate neg exch neg exch translate 3300 1976 a 3214 1966 a FB(H)3249 1972 y Fu(n)p Fs(\000)p Fr(1)3314 1966 y FF(\()p FB(i)3344 1972 y Fu(A)3371 1966 y FF(\))3300 1988 y grestore 3300 1988 a 1974 2106 a gsave 1974 2106 a 1974 2106 a currentpoint currentpoint translate -3729358 neg 7221536 atan rotate neg exch neg exch translate 1974 2106 a 1804 2117 a Fw(\000)h(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g (\000)c Fv(\021)1974 2106 y grestore 1974 2106 a 1974 2106 a gsave 1974 2106 a 1974 2106 a currentpoint currentpoint translate -3729358 neg 7221536 atan rotate neg exch neg exch translate 1974 2106 a 1970 2094 a currentpoint currentpoint translate 3729358 neg 7221536 atan rotate neg exch neg exch translate 1970 2094 a -10 x FB(H)2005 2090 y Fu(n)2027 2084 y FF(\()p FB(q)2062 2090 y Fr(2)2080 2084 y FF(\))1970 2106 y grestore 1970 2106 a 2892 2106 a gsave 2892 2106 a 2892 2106 a currentpoint currentpoint translate 3729358 neg 5332987 atan rotate neg exch neg exch translate 2892 2106 a 2763 2117 a Fw(\000)c(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g (\000)g(\000)-16 b Fv(\021)2892 2106 y grestore 2892 2106 a 2463 2225 a gsave 2463 2225 a 2463 2225 a currentpoint currentpoint translate 0 neg -8204576 atan rotate neg exch neg exch translate 2463 2225 a 2332 2235 a Fw(\000)e(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-18 b Fv(\021)2463 2225 y grestore 2463 2225 a 2463 2225 a gsave 2463 2225 a 2463 2225 a currentpoint currentpoint translate 0 neg -8204576 atan rotate neg exch neg exch translate 2463 2225 a 2436 2237 a currentpoint currentpoint translate 0 neg -8204576 atan rotate neg exch neg exch translate 2436 2237 a 2353 2227 a FB(P)2380 2233 y Fu(n)2402 2227 y FF(\()p FB(X)q(;)7 b(A)p FF(\))2436 2225 y grestore 2436 2225 a 2853 2343 a gsave 2853 2343 a 2853 2343 a currentpoint currentpoint translate -3729358 neg 4102288 atan rotate neg exch neg exch translate 2853 2343 a 2749 2353 a Fw(\000)-22 b(\000)-8 b(\000)f(\000)g(\000)g(\000)g(\000)g(\000)-21 b Fv(\021)2853 2343 y grestore 2853 2343 a 2853 2343 a gsave 2853 2343 a 2853 2343 a currentpoint currentpoint translate -3729358 neg 4102288 atan rotate neg exch neg exch translate 2853 2343 a 2850 2330 a currentpoint currentpoint translate 3729358 neg 4102288 atan rotate neg exch neg exch translate 2850 2330 a -10 x FB(H)2885 2326 y Fu(n)2907 2320 y FF(\()p FB(i)2937 2326 y Fu(X)2969 2320 y FF(\))2850 2343 y grestore 2850 2343 a 2203 2343 a gsave 2203 2343 a 2203 2343 a currentpoint currentpoint translate 3729358 neg 0 atan rotate neg exch neg exch translate 2203 2343 a 2151 2353 a Fw(\000)f(\000)-9 b(\000)g(\000)-22 b Fv(\021)2203 2343 y grestore 2203 2343 a 2203 2343 a gsave 2203 2343 a 2203 2343 a currentpoint currentpoint translate 3729358 neg 0 atan rotate neg exch neg exch translate 2203 2343 a 2205 2355 a currentpoint currentpoint translate -3729358 neg 0 atan rotate neg exch neg exch translate 2205 2355 a 11 x FB(H)2240 2372 y Fu(n)2262 2366 y FF(\()p FB(q)2297 2372 y Fr(3)2316 2366 y FF(\))2205 2343 y grestore 2205 2343 a 2593 2461 a gsave 2593 2461 a 2593 2461 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2593 2461 a 2361 2471 a Fw(\000)-14 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)c Fv(\021)2593 2461 y grestore 2593 2461 a 2593 2461 a gsave 2593 2461 a 2593 2461 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2593 2461 a 2550 2448 a currentpoint currentpoint translate 0 neg -12306864 atan rotate neg exch neg exch translate 2550 2448 a 2485 2479 a FB(H)2520 2485 y Fu(n)2542 2479 y FF(\()p FB(k)2580 2485 y Fr(2)2599 2479 y FF(\))2550 2461 y grestore 2550 2461 a 3281 2225 a gsave 3281 2225 a 3281 2225 a currentpoint currentpoint translate 7458716 neg 9435275 atan rotate neg exch neg exch translate 3281 2225 a 2981 2235 a Fw(\000)e(\000)-9 b(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)-14 b Fv(\021)3281 2225 y grestore 3281 2225 a 3281 2225 a gsave 3281 2225 a 3281 2225 a currentpoint currentpoint translate 7458716 neg 9435275 atan rotate neg exch neg exch translate 3281 2225 a 3284 2237 a currentpoint currentpoint translate -7458716 neg 9435275 atan rotate neg exch neg exch translate 3284 2237 a 29 x FB(@)3306 2272 y Fr(2)3284 2225 y grestore 3284 2225 a 2593 2343 a gsave 2593 2343 a 2593 2343 a currentpoint currentpoint translate 3729358 neg -12306864 atan rotate neg exch neg exch translate 2593 2343 a 2312 2353 a Fw(\000)-19 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-18 b Fv(\021)2593 2343 y grestore 2593 2343 a 2593 2343 a gsave 2593 2343 a 2593 2343 a currentpoint currentpoint translate 3729358 neg -12306864 atan rotate neg exch neg exch translate 2593 2343 a 2600 2330 a currentpoint currentpoint translate -3729358 neg -12306864 atan rotate neg exch neg exch translate 2600 2330 a 2458 2361 a FB(H)2493 2367 y Fu(n)2515 2361 y FF(\()p FB(p)2552 2367 y Fu(X)2584 2361 y FF(\))2600 2343 y grestore 2600 2343 a 2015 1526 a FB(H)2050 1532 y Fu(n)2072 1526 y FF(\()p FB(X)2125 1509 y Fr(+)2163 1526 y Fw([)9 b FH(T)p FB(A)2264 1509 y Fr(+)2291 1526 y FB(;)e(X)2347 1509 y Fr(+)2375 1526 y FF(\))462 b FB(H)2888 1532 y Fu(n)2911 1526 y FF(\()p FH(T)p FB(A)2991 1509 y Fr(+)3019 1526 y FB(;)7 b(A)3069 1509 y Fr(+)3096 1526 y FF(\))2090 1763 y FB(H)2125 1769 y Fu(n)2147 1763 y FF(\()p FH(S)p FB(A)2221 1745 y Fr(+)2249 1763 y FB(;)g(P)f FF(\))655 b Fw(\003)1512 1999 y FB(H)1547 2005 y Fu(n)1569 1999 y FF(\()p FB(X)1622 1982 y Fr(+)1659 1999 y Fw([)9 b FH(T)p FB(A)1760 1982 y Fr(+)1788 1999 y FB(;)e(P)f FF(\))1123 b FB(H)3014 2005 y Fu(n)p Fs(\000)p Fr(1)3079 1999 y FF(\()p FB(A)p FF(\))318 b FB(H)3495 2005 y Fu(n)p Fs(\000)p Fr(1)3559 1999 y FF(\()p FB(A)3606 1982 y Fr(+)3634 1999 y FB(;)7 b(P)f FF(\))2062 2235 y FB(H)2097 2241 y Fu(n)2119 2235 y FF(\()p FB(X)2172 2218 y Fr(+)2200 2235 y FB(=)n(A)2250 2218 y Fr(+)2277 2235 y FB(;)h(P)f FF(\))291 b FB(H)2671 2241 y Fu(n)2693 2235 y FF(\()p FB(X)q(;)7 b(A)p FF(\))2002 2471 y FB(H)2037 2477 y Fu(n)2059 2471 y FF(\()p FB(X)2112 2454 y Fr(+)2149 2471 y Fw([)i FH(T)p FB(A)2250 2454 y Fr(+)2278 2471 y FB(;)e FH(T)p FB(A)2361 2454 y Fr(+)2388 2471 y FF(\))463 b FB(H)2902 2477 y Fu(n)2924 2471 y FF(\()p FB(X)2977 2454 y Fr(+)3005 2471 y FB(;)7 b(A)3055 2454 y Fr(+)3082 2471 y FF(\))1491 2502 y grestore 1491 2502 a 954 2770 a FF(62)p eop %%Page: 63 8 63 62 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(J.)16 b(McCleary)p FF(,)d FC(A)i(User's)f(to)h(Sp)n(e)n(ctr)n(al)f(Se)n(quenc)n(es)p FF(,)h(page)f(13.)-79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\dotted)-79 232 y Fr(3)g Fx(\\grid=7mm)-79 282 y Fr(4)g Fx(\\yscale=2)-79 332 y Fr(5)g Fx(\\Diagram)-79 382 y Fr(6)g Fx(&&&&&&&&&x)o(z&)o(&&&)o(xy)o(z&&)o(&&x)o(y^)o(2z&)o(&&) o(&xy)o(^3)o(z&\\)o(\\)-79 432 y Fr(7)g Fx(\\\\)-79 482 y Fr(8)g Fx(z&&&&zy&&&)o(&z)o(y^2)o(&&)o(&&z)o(y^3)o(\\\\)-79 531 y Fr(9)g Fx(\\dy{-.2})-95 581 y Fr(10)f Fx(&&&&&&&&&x)o(&&)o(&&x)o (y&)o(&&&)o(xy^)o(2&)o(&&&)o(xy)o(^3\\)o(\\)-95 631 y Fr(11)g Fx(\\\\)-95 681 y Fr(12)g Fx(&&&&y&&&&y)o(^2)o(&&&)o(&y)o(^3\\) o(\\)-95 731 y Fr(13)g Fx(\\Modify)-95 780 y Fr(14)g Fx(\\Line)18 b(\(0,0\))f(\(4,0\))h(\\dt{1pt})-95 830 y Fr(15)61 b Fx(\\Line)18 b(\(4,0\))f(\(8,0\))-95 880 y Fr(16)61 b Fx(\\Line)18 b(\(8,0\))f(\(12,0\))-95 930 y Fr(17)61 b Fx(\\Line)18 b(\(12,0\))f(\(22.5,0\))-95 980 y Fr(18)61 b Fx(\\Line)18 b(\(0,0\))f(\(0,3\))h(\\dt{1pt})-95 1029 y Fr(19)61 b Fx(\\Line)18 b(\(0,3\))f(\(0,5.2\))-95 1079 y Fr(20)61 b Fx(\\To)18 b(\(9,2\))g(\(12,0\))-95 1129 y Fr(21)61 b Fx(\\To)18 b(\(9,5\))g(\(12,3\))-95 1179 y Fr(22)61 b Fx(\\endDiagra)o(m)-95 1229 y Fr(23)g Fx($$)772 1431 y FB(xz)277 b(xy)q(z)257 b(xy)1458 1413 y Fr(2)1477 1431 y FB(z)248 b(xy)1789 1413 y Fr(3)1808 1431 y FB(z)40 1761 y(z)300 b(z)r(y)281 b(z)r(y)723 1744 y Fr(2)1011 1761 y FB(z)r(y)1053 1744 y Fr(3)782 1960 y FB(x)296 b(xy)278 b(xy)1469 1943 y Fr(2)1754 1960 y FB(xy)1799 1943 y Fr(3)370 2290 y FB(y)301 b(y)712 2273 y Fr(2)1022 2290 y FB(y)1043 2273 y Fr(3)40 1431 y Fw(\017)61 b(\017)h(\017)g(\017)f(\017)h(\017)g(\017)g(\017)f(\017)145 b(\017)61 b(\017)h(\017)144 b(\017)62 b(\017)g(\017)144 b(\017)62 b(\017)f(\017)145 b(\017)40 1596 y(\017)61 b(\017)h(\017)g(\017)f(\017)h(\017)g(\017)g(\017)f(\017)h(\017)g(\017)f (\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h (\017)g(\017)122 1761 y(\017)g(\017)g(\017)144 b(\017)62 b(\017)g(\017)144 b(\017)62 b(\017)f(\017)145 b(\017)61 b(\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h(\017)g(\017)40 1960 y(\017)f(\017)h(\017)g(\017)f(\017)h(\017)g(\017)g(\017)f(\017)145 b(\017)61 b(\017)h(\017)144 b(\017)62 b(\017)g(\017)144 b(\017)62 b(\017)f(\017)145 b(\017)40 2125 y(\017)61 b(\017)h(\017)g(\017)f(\017)h(\017)g(\017)g(\017)f(\017)h(\017)g(\017)f (\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h (\017)g(\017)40 2290 y(\017)f(\017)h(\017)g(\017)144 b(\017)62 b(\017)g(\017)144 b(\017)62 b(\017)f(\017)145 b(\017)61 b(\017)h(\017)g(\017)f(\017)h(\017)g(\017)f(\017)h(\017)g (\017)216 2280 y gsave 216 2280 a 216 2280 a currentpoint currentpoint translate 0 neg 5221100 atan rotate neg exch neg exch translate 216 2280 a 46 2290 a Fw(\000)-18 b(\000)-8 b(\000)f(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)-17 b(\000)216 2280 y grestore 216 2280 a 546 2280 a gsave 546 2280 a 546 2280 a currentpoint currentpoint translate 0 neg 5221100 atan rotate neg exch neg exch translate 546 2280 a 400 2290 a Fw(\000)-22 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)-22 b(\000)546 2280 y grestore 546 2280 a 877 2280 a gsave 877 2280 a 877 2280 a currentpoint currentpoint translate 0 neg 5221100 atan rotate neg exch neg exch translate 877 2280 a 740 2290 a Fw(\000)-15 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)-15 b(\000)877 2280 y grestore 877 2280 a 1476 2280 a gsave 1476 2280 a 1476 2280 a currentpoint currentpoint translate 0 neg 13705387 atan rotate neg exch neg exch translate 1476 2280 a 1071 2290 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-20 b(\000)1476 2280 y grestore 1476 2280 a 50 2016 a gsave 50 2016 a 50 2016 a currentpoint currentpoint translate 8353752 neg 0 atan rotate neg exch neg exch translate 50 2016 a -219 2026 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)-21 b(\000)50 2016 y grestore 50 2016 a 50 1569 a gsave 50 1569 a 50 1569 a currentpoint currentpoint translate 5743202 neg 0 atan rotate neg exch neg exch translate 50 1569 a -116 1579 a Fw(\000)-13 b(\000)k(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)d(\000)50 1569 y grestore 50 1569 a 918 2115 a gsave 918 2115 a 918 2115 a currentpoint currentpoint translate -5221100 neg 3915825 atan rotate neg exch neg exch translate 918 2115 a 733 2125 a Fw(\000)c(\000)-9 b(\000)h(\000)f(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-14 b Fv(\021)918 2115 y grestore 918 2115 a 918 1586 a gsave 918 1586 a 918 1586 a currentpoint currentpoint translate -5221100 neg 3915825 atan rotate neg exch neg exch translate 918 1586 a 733 1596 a Fw(\000)e(\000)-9 b(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000) -14 b Fv(\021)918 1586 y grestore 918 1586 a 954 2770 a FF(63)p eop %%Page: 64 9 64 63 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(J.)16 b(McCleary)p FF(,)d FC(A)i(User's)f(to)h(Sp)n(e)n(ctr)n(al)f(Se)n(quenc)n(es)p FF(,)h(page)f(346.)-79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\cellpush+)o(=5)o(pt)-79 232 y Fr(3)g Fx(\\cellwidth)o(+=) o(2mm)-79 282 y Fr(4)g Fx(\\Dg)-79 332 y Fr(5)g Fx(&&_{N+t'}X)o(_p)36 b(&)19 b(\\rTo)f(^{g_{p+q})o(})f(&)i(_N)g(X_{p+q})36 b(\\\\)-79 382 y Fr(6)62 b Fx(&&)19 b(\\dFillcel)o(l{\\)o(;\\)o(cdo)o (ts\\)o(;\\)o(rig)o(ht)o(arr)o(ow)o(fil)o(l})d(&)-79 432 y Fr(7)690 b Fx(&)19 b(\\dFillcel)o(l{\\)o(;\\)o(cdo)o(ts\\)o(;\\)o (rig)o(ht)o(arr)o(owf)o(il)o(l})d(\\\\)-79 482 y Fr(8)964 b Fx(\\\\)-79 531 y Fr(9)62 b Fx(&&)19 b(_{N+t'}X_)o(1)e(&)i(\\rTo)f (^{g_{q+1})o(})f(&)i(_N)g(X_{q+1})36 b(\\\\)-95 581 y Fr(10)61 b Fx(&&)19 b(\\dTo)136 b(&)333 b(&)19 b(\\dTo)155 b(\\\\)-95 631 y Fr(11)61 b Fx(S^{N+t+t'})o(X)16 b(\\aTo)i(\(2,5\))g (^{f_p})f(\\tx{.7})g(\\hx{5pt})g(&)i(\\rTo)f(^f)h(&)-95 681 y Fr(12)120 b Fx(S^{N+t'}X)36 b(&)19 b(\\rTo)f(^{g_q})96 b(&)19 b(_N)g(X_q)116 b(\\\\)-95 731 y Fr(13)963 b Fx(\\\\)-95 780 y Fr(14)61 b Fx(&&)235 b(&)333 b(&)19 b(\\dFillcel)o(l{\\)o(ri)o (ght)o(arr)o(ow)o(fil)o(l\\)o(;\\c)o(dot)o(s\\)o(;\\r)o(ig)o(hta)o(rr)o (owf)o(ill)o(})d(\\\\)-95 830 y Fr(15)963 b Fx(\\\\)-95 880 y Fr(16)61 b Fx(&&)235 b(&)333 b(&)19 b(_N)g(X_1)116 b(\\\\)-95 930 y Fr(17)61 b Fx(&&)235 b(&)333 b(&)19 b(\\dTo)155 b(\\\\)-95 980 y Fr(18)61 b Fx(&&)235 b(&)333 b(&)19 b(S^N)f(X)i(\\bTo)e(\(-2,6\))f(\\alp)o(ha)d(\\\\)-95 631 y Fr(11)100 b Fx(&)118 b(&)19 b(K)254 b(&)20 b(\\rMono\\d)o(To\\)o(br&)o(&)c (E_1\\ax{2mm})o(&)g(\\rEpi\\dTo\\b)o(r&)o(&)h(A)97 b(\\\\)-95 681 y Fr(12)j Fx(&)19 b(\\ldTo&)292 b(&)118 b(&)19 b(\\ldTo&)213 b(&)118 b(&)19 b(\\ldBar)213 b(\\\\)-95 731 y Fr(13)61 b Fx(~K&)117 b(&)19 b(\\rMono)154 b(&)20 b(~E_1)e(&)h(\\rEpi_{~\\)o (eta)o(}&)55 b(&)20 b(A)450 b(\\\\)-95 780 y Fr(14)61 b Fx(\\endDg)-95 830 y Fr(15)g Fx($$)931 969 y gsave 931 969 a 931 969 a currentpoint currentpoint translate 0 neg 6716225 atan rotate neg exch neg exch translate 931 969 a 746 980 a Fv(\016)-16 b Fw(\000)-9 b(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)-19 b Fv(\021)931 969 y grestore 931 969 a 1346 969 a gsave 1346 969 a 1346 969 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1346 969 a 1181 980 a Fw(\000)c(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)h(\000)f(\000)g(\000)g(\000)-22 b Fv(\021)-30 b(\014)1346 969 y grestore 1346 969 a 1346 969 a gsave 1346 969 a 1346 969 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1346 969 a 1349 957 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1349 957 a 1334 951 a Fu(\021)1352 939 y Ft(0)1349 969 y grestore 1349 969 a 559 1064 a gsave 559 1064 a 559 1064 a currentpoint currentpoint translate -2983488 neg -5034634 atan rotate neg exch neg exch translate 559 1064 a 402 1074 a Fw(\000)-12 b(\000)j(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)d Fv(\021)559 1064 y grestore 559 1064 a 1377 1064 a gsave 1377 1064 a 1377 1064 a currentpoint currentpoint translate 2983488 neg 5407569 atan rotate neg exch neg exch translate 1377 1064 a 1214 1074 a FF(=)-23 b(=)-9 b(=)h(=)f(=)g(=)g(=)g(=)g(=)g (=)g(=)g(=)g(=)g(=)-22 b(=)1377 1064 y grestore 1377 1064 a 719 1158 a gsave 719 1158 a 719 1158 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 719 1158 a 548 1169 a FF(=)i(=)-9 b(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)h(=)f(=)-20 b(=)719 1158 y grestore 719 1158 a 601 1158 a gsave 601 1158 a 601 1158 a currentpoint currentpoint translate 0 neg 6343290 atan rotate neg exch neg exch translate 601 1158 a 400 1158 a 1 setgray 400 1158 a 427 1169 338 21 v 601 1158 a grestore 601 1158 a 601 1158 a gsave 601 1158 a 601 1158 a currentpoint currentpoint translate 0 neg 6343290 atan rotate neg exch neg exch translate 601 1158 a 427 1169 a Fv(\016)k Fw(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-20 b Fv(\021)601 1158 y grestore 601 1158 a 1144 1158 a gsave 1144 1158 a 1144 1158 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1144 1158 a 984 1169 a Fw(\000)h(\000)-9 b(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)-18 b Fv(\021)1144 1158 y grestore 1144 1158 a 1003 1158 a gsave 1003 1158 a 1003 1158 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1003 1158 a 801 1158 a 1 setgray 801 1158 a 838 1169 338 21 v 1003 1158 a grestore 1003 1158 a 1003 1158 a gsave 1003 1158 a 1003 1158 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1003 1158 a 838 1169 a Fw(\000)-23 b(\000)-8 b(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)-22 b Fv(\021)-30 b(\014)1003 1158 y grestore 1003 1158 a 1003 1158 a gsave 1003 1158 a 1003 1158 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1003 1158 a 1006 1146 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1006 1146 a 994 1140 a Fr(~)-20 b Fu(\021)1009 1128 y Ft(0)1007 1158 y grestore 1007 1158 a 400 1347 a gsave 400 1347 a 400 1347 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 400 1347 a 229 1358 a FF(=)-13 b(=)k(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)g(=)c (=)400 1347 y grestore 400 1347 a 1548 1158 a gsave 1548 1158 a 1548 1158 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1548 1158 a 1378 1169 a Fw(\000)f(\000)-9 b(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)c Fv(\021)1548 1158 y grestore 1548 1158 a 1548 1158 a gsave 1548 1158 a 1548 1158 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1548 1158 a 1544 1146 a currentpoint currentpoint translate 5966976 neg 0 atan rotate neg exch neg exch translate 1544 1146 a 10 x Fu(\013)1544 1158 y grestore 1544 1158 a 931 1347 a gsave 931 1347 a 931 1347 a currentpoint currentpoint translate 0 neg 6716225 atan rotate neg exch neg exch translate 931 1347 a 746 1358 a Fv(\016)f Fw(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)-17 b Fv(\021)931 1347 y grestore 931 1347 a 801 1347 a gsave 801 1347 a 801 1347 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 801 1347 a 612 1347 a 1 setgray 612 1347 a 641 1358 313 21 v 801 1347 a grestore 801 1347 a 801 1347 a gsave 801 1347 a 801 1347 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 801 1347 a 641 1358 a Fw(\000)-12 b(\000)j(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)e Fv(\021)801 1347 y grestore 801 1347 a 1346 1347 a gsave 1346 1347 a 1346 1347 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1346 1347 a 1177 1358 a Fw(\000)-18 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)h(\000)f(\000)g(\000)g(\000)g(\000)-17 b Fv(\021)-30 b(\014)1346 1347 y grestore 1346 1347 a 1206 1347 a gsave 1206 1347 a 1206 1347 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1206 1347 a 1017 1347 a 1 setgray 1017 1347 a 1035 1358 333 21 v 1206 1347 a grestore 1206 1347 a 1206 1347 a gsave 1206 1347 a 1206 1347 a currentpoint currentpoint translate -5966976 neg 0 atan rotate neg exch neg exch translate 1206 1347 a 1035 1358 a Fw(\000)-13 b(\000)k(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)d Fv(\021)1206 1347 y grestore 1206 1347 a 559 1442 a gsave 559 1442 a 559 1442 a currentpoint currentpoint translate -2983488 neg -5034634 atan rotate neg exch neg exch translate 559 1442 a 402 1452 a Fw(\000)g(\000)j(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)d Fv(\021)559 1442 y grestore 559 1442 a 973 1442 a gsave 973 1442 a 973 1442 a currentpoint currentpoint translate -2983488 neg -5407569 atan rotate neg exch neg exch translate 973 1442 a 814 1452 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-20 b Fv(\021)973 1442 y grestore 973 1442 a 1377 1442 a gsave 1377 1442 a 1377 1442 a currentpoint currentpoint translate -2983488 neg -5407569 atan rotate neg exch neg exch translate 1377 1442 a 1207 1452 a FF(=)j(=)-9 b(=)g(=)g(=)g(=)g(=)g (=)g(=)g(=)g(=)h(=)f(=)g(=)-17 b(=)1377 1442 y grestore 1377 1442 a 601 1536 a gsave 601 1536 a 601 1536 a currentpoint currentpoint translate 0 neg 6343290 atan rotate neg exch neg exch translate 601 1536 a 427 1547 a Fv(\016)j Fw(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)h(\000)f(\000)g(\000)g(\000)-18 b Fv(\021)601 1536 y grestore 601 1536 a 1003 1536 a gsave 1003 1536 a 1003 1536 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1003 1536 a 834 1547 a Fw(\000)h(\000)-9 b(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-17 b Fv(\021)-30 b(\014)1003 1536 y grestore 1003 1536 a 1003 1536 a gsave 1003 1536 a 1003 1536 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1003 1536 a 1008 1549 a currentpoint currentpoint translate 0 neg 6379245 atan rotate neg exch neg exch translate 1008 1549 a 1002 1568 a Fr(~)-20 b Fu(\021)1008 1536 y grestore 1008 1536 a 699 980 a FB(K)382 b(E)1149 963 y Fu(\013)1147 990 y Fr(1)1527 980 y FB(A)1558 963 y Fs(0)392 1158 y FF(~)381 1169 y FB(K)783 1158 y FF(~)773 1169 y FB(E)806 1152 y Fu(\013)804 1179 y Fr(1)1184 1169 y FB(A)1215 1152 y Fs(0)699 1358 y FB(K)j(E)1150 1364 y Fr(1)1532 1358 y FB(A)392 1536 y FF(~)381 1547 y FB(K)786 1536 y FF(~)777 1547 y FB(E)808 1553 y Fr(1)1190 1547 y FB(A)954 2770 y FF(65)p eop %%Page: 66 11 66 65 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)0 42 y FH(George)15 b(W.)h(Whitehead)p FF(,)11 b FC(Elements)k(of)g(Homotopy)g(The)n(ory)p FF(,)e(page)h(650.) -79 133 y Fr(1)62 b Fx($$)-79 183 y Fr(2)g Fx(\\cellpush=)o(4p)o(t)-79 232 y Fr(3)g Fx(\\let\\label)o(st)o(yle)o(\\t)o(ext)o(sty)o(le)-79 282 y Fr(4)g Fx(\\lpad=1in)16 b(\\bpad=1cm)-79 332 y Fr(5)62 b Fx(\\Graph{4in)o(,4)o(}{3)o(.5)o(in,)o(1in)o(})-79 382 y Fr(6)g Fx(\\To)18 b(\(0,0\))g(\(3.3,0\))76 b(\\hd{p})-79 432 y Fr(7)62 b Fx(\\To)18 b(\(0,0\))g(\(0,3.5\))76 b(\\hd{q})-79 482 y Fr(8)62 b Fx(\\Line)18 b(\(2,0\))f(\(2,3.25\))g(\\Line)h(\(0,1\)) f(\(3.2,1\))g(\\Dot)h(\(2,1\))-79 531 y Fr(9)62 b Fx(\\Dot)18 b(\(0,0\))-95 581 y Fr(10)61 b Fx(\045)-95 631 y Fr(11)g Fx(\\Dot)18 b(\(2,0\))g(\\Dot)g(\(2.25,0\))e(\\Dot)i(\(2.5,0\))f(\\Dot) h(\(2.75,0\))f(\\Dot)h(\(3,0\))-95 681 y Fr(12)61 b Fx(\045)-95 731 y Fr(13)g Fx(\\Dot)18 b(\(0,1\))g(\\Dot)g(\(0,1.25\))e(\\Dot)i (\(0,1.5\))f(\\Dot)h(\(0,1.75\))-95 780 y Fr(14)61 b Fx(\\Dot)18 b(\(0,2\))g(\\Dot)g(\(0,2.25\))e(\\Dot)i(\(0,2.5\))f(\\Dot) h(\(0,2.75\))f(\\Dot)h(\(0,3\))-95 830 y Fr(15)61 b Fx(\045)-95 880 y Fr(16)g Fx(\\Line)18 b(\(0,2.25\))e(\(2.5,0\))37 b(^{d^p})17 b(:{.35,5pt})f(\\ro)-95 930 y Fr(17)61 b Fx(\\Line)18 b(\(0,3\))f(\(3,0\))38 b(^{p)18 b(+)h(q)h(=)f(m)g(+)g(n})g (:{.35,5pt})d(\\ro)-95 980 y Fr(18)61 b Fx(\045)-95 1029 y Fr(19)g Fx(\\Math{q)17 b(=)i(n})g(\(-.1,1\))e(*1)97 b(\\Math{E_{0)o(,p-)o(1})o(^2)16 b(=)j(E_{0,p-1}^p)o(})d(\(-.1,2.25\))g (*1)-95 1079 y Fr(20)61 b Fx(\\Math{p)17 b(=)i(m})g(\(2,-.2\))e(*{.55}) g(\\Math{E_{p)o(,0})o(^2)f(=)j(E_{p,0}^p})d(\(2.75,-.2\))g(*{.6})-95 1129 y Fr(21)61 b Fx(\\endGraph)-95 1179 y Fr(22)g Fx($$)1020 2324 y gsave 1020 2324 a 1020 2324 a currentpoint currentpoint translate 0 neg 15629758 atan rotate neg exch neg exch translate 1020 2324 a 525 2335 a Fw(\000)-21 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)-21 b Fv(\021)1020 2324 y grestore 1020 2324 a 1505 2335 a FB(p)525 1799 y gsave 525 1799 a 525 1799 a currentpoint currentpoint translate 16577001 neg 0 atan rotate neg exch neg exch translate 525 1799 a 0 1810 a Fw(\000)j(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000) g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)-18 b Fv(\021)525 1799 y grestore 525 1799 a 515 1285 a FB(q)1125 1837 y gsave 1125 1837 a 1125 1837 a currentpoint currentpoint translate 15392929 neg 0 atan rotate neg exch neg exch translate 1125 1837 a 637 1847 a Fw(\000)c(\000)-9 b(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h (\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000) -21 b(\000)1125 1837 y grestore 1125 1837 a 1005 2024 a gsave 1005 2024 a 1005 2024 a currentpoint currentpoint translate 0 neg 15156100 atan rotate neg exch neg exch translate 1005 2024 a 525 2035 a Fw(\000)j(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-17 b(\000)1005 2024 y grestore 1005 2024 a 1125 2024 a gsave 1125 2024 a 1125 2024 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1125 2024 a 1115 2035 a Fw(\017)1125 2024 y grestore 1125 2024 a 525 2324 a gsave 525 2324 a 525 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 2324 a 515 2335 a Fw(\017)525 2324 y grestore 525 2324 a 1125 2324 a gsave 1125 2324 a 1125 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1125 2324 a 1115 2335 a Fw(\017)1125 2324 y grestore 1125 2324 a 1200 2324 a gsave 1200 2324 a 1200 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1200 2324 a 1190 2335 a Fw(\017)1200 2324 y grestore 1200 2324 a 1275 2324 a gsave 1275 2324 a 1275 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1275 2324 a 1265 2335 a Fw(\017)1275 2324 y grestore 1275 2324 a 1350 2324 a gsave 1350 2324 a 1350 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1350 2324 a 1340 2335 a Fw(\017)1350 2324 y grestore 1350 2324 a 1425 2324 a gsave 1425 2324 a 1425 2324 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1425 2324 a 1415 2335 a Fw(\017)1425 2324 y grestore 1425 2324 a 525 2024 a gsave 525 2024 a 525 2024 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 2024 a 515 2035 a Fw(\017)525 2024 y grestore 525 2024 a 525 1949 a gsave 525 1949 a 525 1949 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1949 a 515 1960 a Fw(\017)525 1949 y grestore 525 1949 a 525 1874 a gsave 525 1874 a 525 1874 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1874 a 515 1885 a Fw(\017)525 1874 y grestore 525 1874 a 525 1799 a gsave 525 1799 a 525 1799 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1799 a 515 1810 a Fw(\017)525 1799 y grestore 525 1799 a 525 1724 a gsave 525 1724 a 525 1724 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1724 a 515 1735 a Fw(\017)525 1724 y grestore 525 1724 a 525 1649 a gsave 525 1649 a 525 1649 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1649 a 515 1660 a Fw(\017)525 1649 y grestore 525 1649 a 525 1574 a gsave 525 1574 a 525 1574 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1574 a 515 1585 a Fw(\017)525 1574 y grestore 525 1574 a 525 1499 a gsave 525 1499 a 525 1499 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1499 a 515 1510 a Fw(\017)525 1499 y grestore 525 1499 a 525 1424 a gsave 525 1424 a 525 1424 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 525 1424 a 515 1435 a Fw(\017)525 1424 y grestore 525 1424 a 900 1987 a gsave 900 1987 a 900 1987 a currentpoint currentpoint translate -10656643 neg 11840715 atan rotate neg exch neg exch translate 900 1987 a 396 1997 a Fw(\000)g(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)-16 b(\000)900 1987 y grestore 900 1987 a 900 1987 a gsave 900 1987 a 900 1987 a currentpoint currentpoint translate -10656643 neg 11840715 atan rotate neg exch neg exch translate 900 1987 a 728 1954 a FB(d)750 1939 y Fu(p)749 1987 y grestore 749 1987 a 975 1874 a gsave 975 1874 a 975 1874 a currentpoint currentpoint translate -14208858 neg 14208858 atan rotate neg exch neg exch translate 975 1874 a 339 1885 a Fw(\000)k(\000)j(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)e(\000) 975 1874 y grestore 975 1874 a 975 1874 a gsave 975 1874 a 975 1874 a currentpoint currentpoint translate -14208858 neg 14208858 atan rotate neg exch neg exch translate 975 1874 a 655 1833 a FB(p)9 b FF(+)g FB(q)k FF(=)f FB(m)d FF(+)h FB(n)784 1874 y grestore 784 1874 a 495 2024 a gsave 495 2024 a 495 2024 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 495 2024 a 395 2035 a FB(q)i FF(=)g FB(n)495 2024 y grestore 495 2024 a 495 1649 a gsave 495 1649 a 495 1649 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 495 1649 a 202 1660 a FB(E)235 1645 y Fr(2)233 1670 y(0)p Fu(;p)p Fs(\000)p Fr(1)332 1660 y FF(=)g FB(E)409 1640 y Fu(p)407 1671 y Fr(0)p Fu(;p)p Fs(\000)p Fr(1)495 1649 y grestore 495 1649 a 1125 2384 a gsave 1125 2384 a 1125 2384 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1125 2384 a 1063 2395 a FB(p)f FF(=)h FB(m)1125 2384 y grestore 1125 2384 a 1350 2384 a gsave 1350 2384 a 1350 2384 a currentpoint currentpoint translate 0 neg rotate neg exch neg exch translate 1350 2384 a 1225 2395 a FB(E)1258 2380 y Fr(2)1256 2405 y Fu(p;)p Fr(0)1313 2395 y FF(=)g FB(E)1390 2375 y Fu(p)1388 2406 y(p;)p Fr(0)1350 2384 y grestore 1350 2384 a 954 2770 a FF(66)p eop %%Page: 67 12 67 66 bop 0 -58 a Fz(T)o(yp)q(esetting)9 b(diagrams)g(with)j(kuvio.tex) 1145 b(Revision)10 b(2.5.12)-79 42 y Fr(1)62 b Fx($$)-79 91 y Fr(2)g Fx(\\rotatedla)o(be)o(ls)16 b(\\let\\label)o(sty)o(le)o (\\te)o(xt)o(sty)o(le)g(\\scale=2)-79 141 y Fr(3)62 b Fx(\\Diagram)-79 191 y Fr(4)82 b Fx(&)19 b(&)g(F\(3,2\))e(\\aLine)h (\(1,-4\))f(>{F\(3,1,1)o(\)})f(:{.4})i(\\br)38 b(\\\\)-79 241 y Fr(5)82 b Fx(&)19 b(&)156 b(&)20 b(\\rdLine)d(>{F\(1,2,)o(2\)})f (\\pt{right)o(,.7)o(5})g(\\\\)-79 291 y Fr(6)82 b Fx(&)19 b(&)156 b(&)177 b(&)19 b(F\(1,4\))370 b(\\\\)-79 340 y Fr(7)62 b Fx(F\(2,3\))17 b(\\aDash)h(\(4,1\))f(^{F\(1,1,3\))o(})g (:{.4})g(\\pp)156 b(\\\\)-79 390 y Fr(8)82 b Fx(&)19 b(&)156 b(&)20 b(F\(4,1\))d(\\aLine)g(\(1,2\))h(>{F\(1,3,1)o(\)})75 b(\\\\)-79 440 y Fr(9)62 b Fx(\\Modify)-95 490 y Fr(10)f Fx(\\Pt{top})17 b(\(2,4\))g(\\Pt{b1})g(\(0,1\))h(\\Pt{b2})f(\(3,0\))-95 540 y Fr(11)61 b Fx(\\Pt{LeftF})16 b(\(1.65,2\))g(\\Pt{BackF})g (\(2,2.5\))-95 589 y Fr(12)61 b Fx(\\Pt{Bottom)o(F})16 b(\(2.5,1\))h(\\Pt{Right)o(F})f(\(3.1,2.25\))-95 639 y Fr(13)61 b Fx(\\Nul)38 b(\\pt{b1})17 b(\\pt{b2})271 b(\\pt{bottom,)o(.8)o(})-95 689 y Fr(14)61 b Fx(\\Nul)38 b(\\pt{Botto)o(mF)o(})17 b(\\pt{botto)o(m})94 b(\\pt{BottomL)o(,2)o(}) -95 739 y Fr(15)61 b Fx(\\Dash)18 b(\\pt{Botto)o(mF)o(})f(\\pt{botto)o (m})94 b(\\tl\\circ)17 b(\\dt{3pt})-95 789 y Fr(16)61 b Fx(\\Line)18 b(\\pt{botto)o(m})e(\\pt{Bottom)o(L})94 b(\\hd{F\(1,1,2)o(,1)o(\)})-95 839 y Fr(17)61 b Fx(\\Line)18 b(\\pt{b1})f(\\pt{b2})g(_{F\(2,2,)o(1\)})35 b(\\br)-95 888 y Fr(18)61 b Fx(\\Nul)38 b(\\pt{b1})17 b(\\pt{top})251 b(\\pt{left,.2)o(5})16 b(\\pt{back,.)o(75)o(})-95 938 y Fr(19)61 b Fx(\\Nul)38 b(\\pt{BackF)o(})16 b(\\pt{back})173 b(\\pt{BackL,2)o(})-95 988 y Fr(20)61 b Fx(\\Nul)38 b(\\pt{LeftF)o(})16 b(\\pt{left})173 b(\\pt{LeftL,2)o(})-95 1038 y Fr(21)61 b Fx(\\Dash)18 b(\\pt{BackF)o(})e(\\pt{back})173 b(\\tl\\circ)17 b(\\dt{3pt})-95 1088 y Fr(22)61 b Fx(\\Line)18 b(\\pt{back})e (\\pt{BackL)o(})173 b(\\hd{F\(1,1,1)o(,2)o(\)})-95 1137 y Fr(23)61 b Fx(\\Line)18 b(\\pt{b1})f(\\pt{top})f(<{F\(2,1,2\))o(})g (\\br)-95 1187 y Fr(24)61 b Fx(\\Line)18 b(\\pt{LeftF)o(})e (\\pt{LeftL})153 b(\\tl\\bullet)16 b(\\hd{F\(2,1,)o(1,1)o(\)})g(\\jt)j (\\br)-95 1237 y Fr(25)61 b Fx(\\Nul)38 b(\\pt{Right)o(F})16 b(\\pt{right})133 b(\\pt{RightL,)o(3})-95 1287 y Fr(26)61 b Fx(\\Line)18 b(\\pt{Right)o(F})e(\\pt{RightL)o(})114 b(\\tl\\bullet)16 b(\\hd{F\(1,2,)o(1,1)o(\)})g(\\jt)j(\\br)-95 1337 y Fr(27)61 b Fx(\\endDiagra)o(m)-95 1386 y Fr(28)g Fx($$)1029 2114 y gsave 1029 2114 a 1029 2114 a currentpoint currentpoint translate 3729358 neg 14917432 atan rotate neg exch neg exch translate 1029 2114 a 608 2124 a Fv(\013)-8 b(\013)f(\013)g(\013)g(\013)g(\013)g(\013)g(\013) g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)h(\013)f (\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g(\013)g (\013)g(\013)g(\013)g(\013)g(\013)h(\013)f(\013)g(\013)1029 2114 y grestore 1029 2114 a 1029 2114 a gsave 1029 2114 a 1029 2114 a currentpoint currentpoint translate 3729358 neg 14917432 atan rotate neg exch neg exch translate 1029 2114 a 863 2091 a FB(F)6 b FF(\(1)p FB(;)h FF(1)p FB(;)g FF(3\))945 2114 y grestore 945 2114 a 1147 1996 a gsave 1147 1996 a 1147 1996 a currentpoint currentpoint translate -14917432 neg 3729358 atan rotate neg exch neg exch translate 1147 1996 a 660 1996 a 1 setgray 660 1996 a 690 2006 915 21 v 1147 1996 a grestore 1147 1996 a 1147 1996 a gsave 1147 1996 a 1147 1996 a currentpoint currentpoint translate -14917432 neg 3729358 atan rotate neg exch neg exch translate 1147 1996 a 690 2006 a Fw(\000)-18 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)-17 b(\000)1147 1996 y grestore 1147 1996 a 1147 1996 a gsave 1147 1996 a 1147 1996 a currentpoint currentpoint translate -14917432 neg 3729358 atan rotate neg exch neg exch translate 1147 1996 a 973 1973 a FB(F)6 b FF(\(3)p FB(;)h FF(1)p FB(;)g FF(1\))1055 1996 y grestore 1055 1996 a 1265 1760 a gsave 1265 1760 a 1265 1760 a currentpoint currentpoint translate -7458716 neg 7458716 atan rotate neg exch neg exch translate 1265 1760 a 968 1770 a Fw(\000)-17 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000) f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)h(\000)-17 b(\000)1265 1760 y grestore 1265 1760 a 1265 1760 a gsave 1265 1760 a 1265 1760 a currentpoint currentpoint translate -7458716 neg 7458716 atan rotate neg exch neg exch translate 1265 1760 a 1183 1737 a FB(F)6 b FF(\(1)p FB(;)h FF(2)p FB(;)g FF(2\))1265 1760 y grestore 1265 1760 a 1383 2232 a gsave 1383 2232 a 1383 2232 a currentpoint currentpoint translate 7458716 neg 3729358 atan rotate neg exch neg exch translate 1383 2232 a 1150 2242 a Fw(\000)-12 b(\000)j(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)e(\000)1383 2232 y grestore 1383 2232 a 1383 2232 a gsave 1383 2232 a 1383 2232 a currentpoint currentpoint translate 7458716 neg 3729358 atan rotate neg exch neg exch translate 1383 2232 a 1301 2276 a FB(F)6 b FF(\(1)p FB(;)h FF(3)p FB(;)g FF(1\))1383 2232 y grestore 1383 2232 a 966 1534 a FB(F)f FF(\(3)p FB(;)h FF(2\))1439 2006 y FB(F)f FF(\(1)p FB(;)h FF(4\))494 2242 y FB(F)f FF(\(2)p FB(;)h FF(3\))1202 2479 y FB(F)f FF(\(4)p FB(;)h FF(1\))910 2350 y gsave 910 2350 a 910 2350 a currentpoint currentpoint translate -3729358 neg 11188074 atan rotate neg exch neg exch translate 910 2350 a 910 2350 a grestore 910 2350 a 1113 2320 a gsave 1113 2320 a 1113 2320 a currentpoint currentpoint translate -2770849 neg -1058864 atan rotate neg exch neg exch translate 1113 2320 a 1113 2320 a grestore 1113 2320 a 1113 2320 a gsave 1113 2320 a 1113 2320 a currentpoint currentpoint translate -2770849 neg -1058864 atan rotate neg exch neg exch translate 1113 2320 a 1025 2330 a Fv(\013)-9 b(\013)g(\013)g(\013)g(\013)g(\013)g(\013)1113 2320 y grestore 1113 2320 a 1136 2242 a Fw(\016)1050 2484 y gsave 1050 2484 a 1050 2484 a currentpoint currentpoint translate -2405159 neg -921240 atan rotate neg exch neg exch translate 1050 2484 a 981 2494 a Fw(\000)-23 b(\000)-9 b(\000)g(\000)h(\000)-22 b(\000)1050 2484 y grestore 1050 2484 a 920 2570 a FB(F)6 b FF(\(1)p FB(;)h FF(1)p FB(;)g FF(2)p FB(;)g FF(1\))910 2350 y gsave 910 2350 a 910 2350 a currentpoint currentpoint translate -3729358 neg 11188074 atan rotate neg exch neg exch translate 910 2350 a 537 2350 a 1 setgray 537 2350 a 614 2361 597 21 v 910 2350 a grestore 910 2350 a 910 2350 a gsave 910 2350 a 910 2350 a currentpoint currentpoint translate -3729358 neg 11188074 atan rotate neg exch neg exch translate 910 2350 a 614 2361 a Fw(\000)-16 b(\000)-9 b(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g (\000)-15 b(\000)910 2350 y grestore 910 2350 a 910 2350 a gsave 910 2350 a 910 2350 a currentpoint currentpoint translate -3729358 neg 11188074 atan rotate neg exch neg exch translate 910 2350 a 830 2394 a FB(F)6 b FF(\(2)p FB(;)h FF(2)p FB(;)g FF(1\))912 2350 y grestore 912 2350 a 792 1878 a gsave 792 1878 a 792 1878 a currentpoint currentpoint translate 11188074 neg 7458716 atan rotate neg exch neg exch translate 792 1878 a 792 1878 a grestore 792 1878 a 965 1796 a gsave 965 1796 a 965 1796 a currentpoint currentpoint translate 2578128 neg -2008000 atan rotate neg exch neg exch translate 965 1796 a 965 1796 a grestore 965 1796 a 815 2018 a gsave 815 2018 a 815 2018 a currentpoint currentpoint translate -713450 neg -4145418 atan rotate neg exch neg exch translate 815 2018 a 815 2018 a grestore 815 2018 a 965 1796 a gsave 965 1796 a 965 1796 a currentpoint currentpoint translate 2578128 neg -2008000 atan rotate neg exch neg exch translate 965 1796 a 865 1807 a Fv(\013)-9 b(\013)g(\013)g(\013)g(\013)g (\013)g(\013)g(\013)965 1796 y grestore 965 1796 a 1018 1888 a Fw(\016)845 1643 y gsave 845 1643 a 845 1643 a currentpoint currentpoint translate 2271420 neg -1768140 atan rotate neg exch neg exch translate 845 1643 a 767 1653 a Fw(\000)-16 b(\000)-9 b(\000)g(\000)g(\000)-14 b(\000)845 1643 y grestore 845 1643 a 688 1581 a FB(F)6 b FF(\(1)p FB(;)h FF(1)p FB(;)g FF(1)p FB(;)g FF(2\))792 1878 y gsave 792 1878 a 792 1878 a currentpoint currentpoint translate 11188074 neg 7458716 atan rotate neg exch neg exch translate 792 1878 a 367 1878 a 1 setgray 367 1878 a 400 1888 786 21 v 792 1878 a grestore 792 1878 a 792 1878 a gsave 792 1878 a 792 1878 a currentpoint currentpoint translate 11188074 neg 7458716 atan rotate neg exch neg exch translate 792 1878 a 400 1888 a Fw(\000)-14 b(\000)-9 b(\000)h(\000)f(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)f (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)d(\000)792 1878 y grestore 792 1878 a 792 1878 a gsave 792 1878 a 792 1878 a currentpoint currentpoint translate 11188074 neg 7458716 atan rotate neg exch neg exch translate 792 1878 a 710 1855 a FB(F)6 b FF(\(2)p FB(;)h FF(1)p FB(;)g FF(2\))792 1878 y grestore 792 1878 a 696 2039 a gsave 696 2039 a 696 2039 a currentpoint currentpoint translate -1363986 neg -7905486 atan rotate neg exch neg exch translate 696 2039 a 441 2039 a 1 setgray 441 2039 a 437 2049 402 21 v 696 2039 a grestore 696 2039 a 696 2039 a gsave 696 2039 a 696 2039 a currentpoint currentpoint translate -1363986 neg -7905486 atan rotate neg exch neg exch translate 696 2039 a 437 2049 a Fw(\000)-20 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g (\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)-20 b(\000)696 2039 y grestore 696 2039 a 936 2006 a Fw(\017)344 2093 y FB(F)6 b FF(\(2)p FB(;)h FF(1)p FB(;)g FF(1)p FB(;)g FF(1\))1329 1901 y gsave 1329 1901 a 1329 1901 a currentpoint currentpoint translate 1139925 neg 1284136 atan rotate neg exch neg exch translate 1329 1901 a 1329 1901 a grestore 1329 1901 a 1397 1841 a gsave 1397 1841 a 1397 1841 a currentpoint currentpoint translate 3030492 neg 3415941 atan rotate neg exch neg exch translate 1397 1841 a 1252 1841 a 1 setgray 1252 1841 a 1248 1851 254 21 v 1397 1841 a grestore 1397 1841 a 1397 1841 a gsave 1397 1841 a 1397 1841 a currentpoint currentpoint translate 3030492 neg 3415941 atan rotate neg exch neg exch translate 1397 1841 a 1248 1851 a Fw(\000)-14 b(\000)-9 b(\000)g(\000)g(\000)g(\000)g(\000)g(\000)g(\000)h(\000)-13 b(\000)1397 1841 y grestore 1397 1841 a 1278 1947 a Fw(\017)1403 1755 y FB(F)6 b FF(\(1)p FB(;)h FF(2)p FB(;)g FF(1)p FB(;)g FF(1\))954 2770 y(67)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF