diff -r 1bb33e217a5a -r f58d590e8a08 text/evmap.tex --- a/text/evmap.tex Thu Jun 24 10:17:19 2010 -0400 +++ b/text/evmap.tex Thu Jun 24 14:20:38 2010 -0400 @@ -621,15 +621,16 @@ \nn{this should perhaps be a numbered remark, so we can cite it more easily} -\begin{rem} -For the proof of xxxx below we will need the following observation on the action constructed above. +\begin{rem*} +\label{rem:for-small-blobs} +For the proof of Lemma \ref{lem:CH-small-blobs} 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 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} +\end{rem*}