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+%% filename: cite-xb.tex
+%% version: 1.00
+%% date: 2004/06/30
+%%
+%% American Mathematical Society
+%% Technical Support
+%% Publications Technical Group
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+%% Providence, RI 02904
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+%% tel: (401) 455-4080
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+%% 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.
+%%
+%% ====================================================================
+
+\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}