text/evmap.tex
changeset 837 f38558decd51
parent 836 029f73e2fda6
child 845 c9b55efd79dd
--- a/text/evmap.tex	Wed Jun 29 16:17:53 2011 -0700
+++ b/text/evmap.tex	Wed Jun 29 16:21:11 2011 -0700
@@ -351,7 +351,7 @@
 of blob diagrams that are small with respect to $\cU$.
 (If $f:P \to \BD_k$ is the family then for all $p\in P$ we have that $f(p)$ is a diagram in which the blobs are small.)
 This is done as in the proof of Lemma \ref{small-blobs-b}; the technique of the proof works in families.
-Each such family is homotopic to a sum families which can be a ``lifted" to $\Homeo(X)$.
+Each such family is homotopic to a sum of families which can be a ``lifted" to $\Homeo(X)$.
 That is, $f:P \to \BD_k$ has the form $f(p) = g(p)(b)$ for some $g:P\to \Homeo(X)$ and $b\in \BD_k$.
 (We are ignoring a complication related to twig blob labels, which might vary
 independently of $g$, but this complication does not affect the conclusion we draw here.)