
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 $\cU$.




