--- a/text/appendixes/famodiff.tex	Fri Oct 14 08:35:15 2011 -0700
+++ b/text/appendixes/famodiff.tex	Sat Oct 22 13:26:53 2011 -0600
@@ -372,6 +372,13 @@
 
 \medskip
 
+Topological (merely continuous) homeomorphisms are conspicuously absent from the 
+list of classes of maps for which the above lemma hold.
+The $k=1$ case of Lemma \ref{basic_adaptation_lemma} for plain, continuous homeomorphisms 
+is more or less equivalent to Corollary 1.3 of \cite{MR0283802}.
+We suspect that the proof found in \cite{MR0283802} of that corollary can be adapted to many-parameter families of
+homeomorphisms, but so far the details have alluded us.
+
 
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