providing a preamble to Appendix A
authorScott Morrison <scott@tqft.net>
Thu, 06 Oct 2011 12:27:38 -0700
changeset 902 bb48ee2ecf9e
parent 901 77a80b7eb98e
child 903 26cbfb7944f9
providing a preamble to Appendix A
RefereeReport.pdf
text/appendixes/moam.tex
Binary file RefereeReport.pdf has changed
--- a/text/appendixes/moam.tex	Thu Oct 06 12:20:35 2011 -0700
+++ b/text/appendixes/moam.tex	Thu Oct 06 12:27:38 2011 -0700
@@ -2,6 +2,9 @@
 
 \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.
+
 Let $F_*$ and $G_*$ be chain complexes.
 Assume $F_k$ has a basis $\{x_{kj}\}$
 (that is, $F_*$ is free and we have specified a basis).