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diff --git a/Master/texmf-dist/doc/latex/amscls/cite-xb.tex b/Master/texmf-dist/doc/latex/amscls/cite-xb.tex deleted file mode 100644 index ab6265a6cec..00000000000 --- a/Master/texmf-dist/doc/latex/amscls/cite-xb.tex +++ /dev/null @@ -1,143 +0,0 @@ -\documentclass{amsart} -\usepackage{amsrefs} - -%\usepackage{dual} % not released yet, needs more work -%\setlength{\dualindent}{-2em} - -\newenvironment{dual}{% - \par\medskip - \trivlist\item[]% -}{% - \endtrivlist -} - -\newcommand{\backup}{% - \vspace*{-\baselineskip}\vspace*{-\medskipamount}\nopagebreak -} - -\newtheorem{thm}{Theorem}[section] - -\begin{document} -\title{Citation tests} -\author{Michael Downes} - - 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). - -\bigskip \noindent \rule{\columnwidth}{0.5pt}\par - -\setcounter{section}{3} -\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} |