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diff --git a/macros/latex/contrib/nchairx/source/chairxmathTopologyDoc.dtx b/macros/latex/contrib/nchairx/source/chairxmathTopologyDoc.dtx new file mode 100644 index 0000000000..60eb653ba7 --- /dev/null +++ b/macros/latex/contrib/nchairx/source/chairxmathTopologyDoc.dtx @@ -0,0 +1,96 @@ +% \iffalse meta-comment +% +% Copyright (C) 2018 - 2021 by ChairX +% +% This file may be distributed and/or modified under the +% conditions of the LaTeX Project Public License, either +% version 1.3 of this license or (at your option) any later +% version. The latest version of this license is in: +% +% http://www.latex-project.org/lppl.txt +% +% and version 1.3 or later is part of all distributions of +% LaTeX version 2005/12/01 or later. +% +% This file contains the documentation of all topology related macros . +% +% Macros have to be described by (delete the first %) +% \DescribeMacro{\macro} +% Description and usage of the macro. +% +% The description will appear in the usage +% part of the documentation. Use \subsubsection{} etc. for structuring. +% +% The implementation of the macros defined here has to be written in +% chairxmathTopology.dtx +%\fi +% +%\subsubsection{Macros for Topology} +% +% \DescribeMacro{\cl} +% Topological closure |X^\cl|: $X^\cl$\\ +% Uses |scriptfont|. +% +% \DescribeMacro{\scl} +% Sequential closure |A^\scl|: $A^\scl$\\ +% Uses |scriptfont|. +% +% \DescribeMacro{\interior} +% Open interior |A^\interior|: $A^\interior$ +% +% \DescribeMacro{\boundary} +% Boundary of a subset |\boundary A|: $\boundary A$ +% +% \DescribeMacro{\supp} +% Support of a function |\supp f|: $\supp f$\\ +% Uses |operatorfont|. +% +% \DescribeMacro{\dist} +% Distance |\dist(p, A)|: $\dist(p, A)$\\ +% Uses |operatorfont|. +% +% \DescribeMacro{\topology} +% Font for topology |\topology{M}|: $\topology{M}$\\ +% Uses |topologyfont|. +% +% \DescribeMacro{\filter} +% Font for filter |\filter{F}|: $\filter{F}$\\ +% Uses |filterfont|. +% +% \DescribeMacro{\sheaf} +% Font for sheaves |\sheaf{F}|: $\sheaf{F}$\\ +% Uses |sheaffont|. +% +% \DescribeMacro{\Sections} +% Discontinuous sections of a presheaf |\Sections(\sheaf{F})|: $\Sections(\sheaf{F})$\\ +% Uses |operatorfont|. +% +% \DescribeMacro{\HOM} +% Sheaf of morphisms between sheaves |\HOM(\sheaf{F}, \sheaf{G})|: $\HOM(\sheaf{F}, \sheaf{G})$\\ +% Uses |sheaffont| and |\mathit|. +% +% \DescribeMacro{\etale} +% Étalé space of presheaf |\etale{\sheaf{F}}|: $\etale{\sheaf{F}}$. +% +% +% \subsubsection{Categories from Topology} +% +% \DescribeMacro{\topological} +% Category of topological spaces |\topological|: $\topological$ \\ +% Uses |categoryname|. +% +% \DescribeMacro{\Topological} +% Category of Hausdorff topological spaces |\Topological|: $\Topological$ \\ +% Uses |categoryname|. +% +% \DescribeMacro{\Sheaves} +% Category of sheaves over a space |\Sheaves(M)|: $\Sheaves(M)$ \\ +% Uses |categoryname|. +% +% \DescribeMacro{\PreSheaves} +% Category of presheaves over a space |\PreSheaves(M)|: $\PreSheaves(M)$ \\ +% Uses |categoryname|. +% +% \DescribeMacro{\Etale} +% Category of étalé spaces over a space |\Etale(M)|: $\Etale(M)$ \\ +% Uses |categoryname|. |