diff -r 3ebe74d8b927 -r 52e6b2d78dc4 text/appendixes/famodiff.tex --- a/text/appendixes/famodiff.tex Sun Sep 25 15:00:21 2011 -0600 +++ b/text/appendixes/famodiff.tex Sun Sep 25 22:13:07 2011 -0600 @@ -2,6 +2,8 @@ \section{Adapting families of maps to open covers} \label{sec:localising} +In this appendix we prove some results about adapting families of maps to open covers. +These results are used in Lemma \ref{small-top-blobs} and Theorem \ref{thm:map-recon}. Let $X$ and $T$ be topological spaces, with $X$ compact. Let $\cU = \{U_\alpha\}$ be an open cover of $X$ which affords a partition of