# HG changeset patch # User Scott Morrison # Date 1323762897 28800 # Node ID 8372e04e4b7d45519b9894a1f38bf56a9676a7ac # Parent 6e4f0ed47e0e806e0aa5210386758d8af838e346 removing obsolete reference to Lemma support-shrink diff -r 6e4f0ed47e0e -r 8372e04e4b7d text/appendixes/moam.tex --- a/text/appendixes/moam.tex Mon Dec 12 23:54:17 2011 -0800 +++ b/text/appendixes/moam.tex Mon Dec 12 23:54:57 2011 -0800 @@ -3,7 +3,7 @@ \section{The method of acyclic models} \label{sec:moam} In this section we recall the method of acyclic models for the reader's convenience. The material presented here is closely modeled on \cite[Chapter 4]{MR0210112}. -We use this method throughout the paper (c.f. Lemma \ref{support-shrink}, Theorem \ref{thm:product}, Theorem \ref{thm:gluing} and Theorem \ref{thm:map-recon}), as it provides a very convenient way to show the existence of a chain map with desired properties, even when many non-canonical choices are required in order to construct one, and further to show the up-to-homotopy uniqueness of such maps. +We use this method throughout the paper (c.f. Theorem \ref{thm:product}, Theorem \ref{thm:gluing} and Theorem \ref{thm:map-recon}), as it provides a very convenient way to show the existence of a chain map with desired properties, even when many non-canonical choices are required in order to construct one, and further to show the up-to-homotopy uniqueness of such maps. Let $F_*$ and $G_*$ be chain complexes. Assume $F_k$ has a basis $\{x_{kj}\}$