text/evmap.tex
changeset 385 b1da2a454ee7
parent 368 eb7a1ea85179
child 396 f58d590e8a08
--- a/text/evmap.tex	Mon Jun 21 15:28:02 2010 -0700
+++ b/text/evmap.tex	Tue Jun 22 18:05:09 2010 -0700
@@ -618,7 +618,6 @@
 \end{proof}
 
 
-\noop{
 
 \nn{this should perhaps be a numbered remark, so we can cite it more easily}
 
@@ -626,11 +625,13 @@
 For the proof of xxxx below we will need the following observation on the action constructed above.
 Let $b$ be a blob diagram and $p:P\times X\to X$ be a family of homeomorphisms.
 Then we may choose $e$ such that $e(p\ot b)$ is a sum of generators, each
-of which has support arbitrarily close to $p(t,|b|)$ for some $t\in P$.
-This follows from the fact that the 
-\nn{not correct, since there could also be small balls far from $|b|$}
+of which has support close to $p(t,|b|)$ for some $t\in P$.
+More precisely, the support of the generators is contained in a small neighborhood
+of $p(t,|b|)$ union some small balls.
+(Here ``small" is in terms of the metric on $X$ that we chose to construct $e$.)
 \end{rem}
-}
+
+
 
 \begin{prop}
 The $CH_*(X, Y)$ actions defined above are associative.