diff -r c2d2a8f8d70c -r a60332c29d0b text/evmap.tex --- a/text/evmap.tex Wed Feb 24 01:25:59 2010 +0000 +++ b/text/evmap.tex Wed Feb 24 06:28:03 2010 +0000 @@ -113,7 +113,8 @@ Let $CM_*(S, T)$ denote the singular chains on the space of continuous maps from $S$ to $T$. Let $\cU$ be an open cover of $S$ which affords a partition of unity. -\nn{for some $S$ and $\cU$ there is no partition of unity? like if $S$ is not paracompact?} +\nn{for some $S$ and $\cU$ there is no partition of unity? like if $S$ is not paracompact? +in any case, in our applications $S$ will always be a manifold} \begin{lemma} \label{extension_lemma_b} Let $x \in CM_k(S, T)$ be a singular chain such that $\bd x$ is adapted to $\cU$.