diff options
Diffstat (limited to 'Master/texmf-dist/doc/latex/amslatex/cite-xh.tex')
-rw-r--r-- | Master/texmf-dist/doc/latex/amslatex/cite-xh.tex | 154 |
1 files changed, 154 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/amslatex/cite-xh.tex b/Master/texmf-dist/doc/latex/amslatex/cite-xh.tex new file mode 100644 index 00000000000..e6bc80cc6aa --- /dev/null +++ b/Master/texmf-dist/doc/latex/amslatex/cite-xh.tex @@ -0,0 +1,154 @@ +%&pdfelatex +%% This is intended to be a working example of using the amsrefs +%% backrefs option in conjunction with hyperref. It works for me using +%% pdflatex [mjd,2002-01-03]. Cf testbib.tex in the hyperref distrib. +%% +%% This is pdfTeX, Version 3.14159-14h-released-20010417 (Web2C 7.3.3.1) +%% (format=pdflatex 2001.12.21) +%% Package: hyperref 2000/01/22 v6.69c Hypertext links for LaTeX + +\documentclass{article} +\usepackage{times} +\usepackage[colorlinks,citecolor=red,pagebackref,hypertexnames=false]{hyperref} +\usepackage[backrefs]{amsrefs} + +\newenvironment{dual}{% + \par\medskip + \trivlist\item[]% +}{% + \endtrivlist +} + +\newcommand{\backup}{% + \vspace*{-\baselineskip}\vspace*{-\medskipamount}\nopagebreak +} + +\newtheorem{thm}{Theorem}[section] + +\providecommand{\MR}{} + +\begin{document} +\title{Testing amsrefs with the hyperref package} +\author{MJD} +\maketitle + + The following examples are derived from + \emph{Homology manifold bordism} by Heather Johnston and Andrew + Ranicki (Trans.\ Amer.\ Math.\ Soc.\ \textbf{352} no 11 (2000), PII: S + 0002-9947(00)02630-1). + +\setcounter{section}{3} +\section{Homology manifold bordism} + +\begin{dual} +The results of Johnston \cite{Jo} on homology +manifolds are extended here. It is not +possible to investigate transversality by +geometric methods---as in \cite{Jo} we employ +bordism and surgery instead. +\end{dual} + +%Kirby and Siebenmann \cite{KS} (III,\S 1), +\begin{dual} +The proof of transversality is indirect, +relying heavily on surgery theory\mdash see +Kirby and Siebenmann \cite{KS}*{III, \S 1}, +Marin \cite{M} and Quinn \cite{Q3}. We shall +use the formulation in terms of topological +block bundles of Rourke and Sanderson +\cite{RS}. +\end{dual} + +\begin{dual} +$Q$ is a codimension $q$ subspace by Theorem +4.9 of Rourke and Sanderson \cite{RS}. +(Hughes, Taylor and Williams \cite{HTW} +obtained a topological regular neighborhood +theorem for arbitrary submanifolds \dots.) +\end{dual} + +%Wall \cite{Wa} (Chapter 11) obtained a +\begin{dual} +Wall \cite{Wa}*{Chapter 11} obtained a +codimension $q$ splitting obstruction \dots. +\end{dual} + +\begin{dual} +\dots\ following the work of Cohen \cite{Co} +on $PL$ manifold transversality. +\end{dual} + +\begin{dual} +In this case each inverse image is +automatically a $PL$ submanifold of +codimension $\sigma$ (Cohen \cite{Co}), so +there is no need to use $s$-cobordisms. +\end{dual} + +%Quinn (\cite{Q2}, 1.1) proved that \dots +\begin{dual} +Quinn \cite{Q2}*{1.1} proved that \dots +\end{dual} + +\begin{dual}\backup +\begin{thm}[The additive structure of + homology manifold bordism, Johnston + \cite{Jo}] +\dots +\end{thm} +\end{dual} + +\begin{dual} +For $m\geq 5$ the Novikov-Wall surgery theory +for topological manifolds gives an exact +sequence (Wall \cite{Wa}*{Chapter 10}. +\end{dual} + +\begin{dual} +The surgery theory of topological manifolds +was extended to homology manifolds in Quinn +\cites{Q1,Q2} and Bryant, Ferry, Mio +and Weinberger \cite{BFMW}. +\end{dual} + +\begin{dual} +The 4-periodic obstruction is equivalent to +an $m$-dimensional homology manifold, by +\cite{BFMW}. +\end{dual} + +\begin{dual} +Thus, the surgery exact sequence of +\cite{BFMW} does not follow Wall \cite{Wa} in +relating homology manifold structures and +normal invariants. +\end{dual} + +\begin{dual} +\dots\ the canonical $TOP$ reduction +(\cite{FP}) of the Spivak normal fibration of +$M$ \dots +\end{dual} + +\begin{dual}\backup +\begin{thm}[Johnston \cite{Jo}] +\dots +\end{thm} +\end{dual} + +\begin{dual} +Actually \cite{Jo}*{(5.2)} is for $m\geq 7$, +but we can improve to $m\geq 6$ by a slight +variation of the proof as described below. +\end{dual} + +\begin{dual} +(This type of surgery on a Poincar\'e space +is in the tradition of Lowell Jones +\cite{Jn}.) +\end{dual} + +\bibliographystyle{amsxport} +\bibliography{jr} + +\end{document} |