--- a/text/appendixes/famodiff.tex Tue May 25 07:20:16 2010 -0700
+++ b/text/appendixes/famodiff.tex Tue May 25 07:26:36 2010 -0700
@@ -221,10 +221,15 @@
\nn{need to clean up references from the main text to the lemmas of this section}
+\noop{
+
\medskip
\nn{do we want to keep the following?}
+\nn{ack! not easy to adapt (pun) this old text to continuous maps (instead of homeos, as
+in the old version); just delete (\\noop) it all for now}
+
The above lemmas remain true if we replace ``adapted" with ``strongly adapted", as defined below.
The proof of Lemma \ref{basic_adaptation_lemma} is modified by
choosing the common refinement $L$ and interpolating maps $\eta$
@@ -249,9 +254,11 @@
\item each $V_i$ is the union of at most $k_i$ of the $U_\alpha$'s,
where $k_i = \dim(P_i)$; and
\item $f(p, \cdot) = g \circ f_1(p_1, \cdot) \circ \cdots \circ f_m(p_m, \cdot)$
-for all $p = (p_1, \ldots, p_m)$, for some fixed $gX\to T$.
+for all $p = (p_1, \ldots, p_m)$, for some fixed $g:X\to T$.
\end{itemize}
+}
+% end \noop
\medskip
\hrule