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-%% filename: cite-xh.tex
-%% version: 1.00
-%% date: 2004/06/30
-%%
-%% American Mathematical Society
-%% Technical Support
-%% Publications Technical Group
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-%% Providence, RI 02904
-%% USA
-%% tel: (401) 455-4080
-%% (800) 321-4267 (USA and Canada only)
-%% fax: (401) 331-3842
-%% email: tech-support@ams.org
-%%
-%% Copyright 2004, 2010 American Mathematical Society.
-%%
-%% This work may be distributed and/or modified under the
-%% conditions of the LaTeX Project Public License, either version 1.3c
-%% 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 1.3c or later is part of all distributions of LaTeX
-%% version 2005/12/01 or later.
-%%
-%% This work has the LPPL maintenance status `maintained'.
-%%
-%% The Current Maintainer of this work is the American Mathematical
-%% Society.
-%%
-%% ====================================================================
-
-%&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}
-
-\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}
-
-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.
-
-%Kirby and Siebenmann \cite{KS} (III,\S 1),
-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}.
-
-$Q$ 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.)
-
-%Wall \cite{Wa} (Chapter 11) obtained a
-Wall \cite{Wa}*{Chapter 11} obtained a
-codimension $q$ splitting obstruction \dots.
-
-\dots\ following the work of Cohen \cite{Co}
-on $PL$ manifold transversality.
-
-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.
-
-%Quinn (\cite{Q2}, 1.1) proved that \dots
-Quinn \cite{Q2}*{1.1} proved that \dots
-
-\begin{thm}[The additive structure of
- homology manifold bordism, Johnston
- \cite{Jo}]
-\dots
-\end{thm}
-
-For $m\geq 5$ the Novikov-Wall surgery theory
-for topological manifolds gives an exact
-sequence (Wall \cite{Wa}*{Chapter 10}.
-
-The surgery theory of topological manifolds
-was extended to homology manifolds in Quinn
-\cites{Q1,Q2} and Bryant, Ferry, Mio
-and Weinberger \cite{BFMW}.
-
-The 4-periodic obstruction is equivalent to
-an $m$-dimensional homology manifold, by
-\cite{BFMW}.
-
-Thus, the surgery exact sequence of
-\cite{BFMW} does not follow Wall \cite{Wa} in
-relating homology manifold structures and
-normal invariants.
-
-\dots\ the canonical $TOP$ reduction
-(\cite{FP}) of the Spivak normal fibration of
-$M$ \dots
-
-\begin{thm}[Johnston \cite{Jo}]
-\dots
-\end{thm}
-
-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.
-
-(This type of surgery on a Poincar\'e space
-is in the tradition of Lowell Jones
-\cite{Jn}.)
-
-\bibliographystyle{amsxport}
-\bibliography{jr}
-
-\end{document}