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-%% filename: cite-xb.tex
-%% version: 1.00
-%% date: 2004/06/30
-%%
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-%% 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.
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-%% This work has the LPPL maintenance status `maintained'.
-%% 
-%% The Current Maintainer of this work is the American Mathematical
-%% Society.
-%%
-%% ====================================================================
-
-\documentclass{amsart}
-
-\usepackage{amsrefs}
-
-\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}
-
-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.
-
-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
-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
-
-\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}