--- a/text/basic_properties.tex Mon Dec 12 10:37:50 2011 -0800
+++ b/text/basic_properties.tex Mon Dec 12 15:01:37 2011 -0800
@@ -74,6 +74,9 @@
For $y \in \bc_*(X)$ with $y = \sum c_i b_i$ ($c_i$ a non-zero number, $b_i$ a blob diagram),
we define $\supp(y) \deq \bigcup_i \supp(b_i)$.
+%%%%% the following is true in spirit, but technically incorrect if blobs are not embedded;
+%%%%% we only use this once, so move lemma and proof to Hochschild section
+\noop{ %%%%%%%%%% begin \noop
For future use we prove the following lemma.
\begin{lemma} \label{support-shrink}
@@ -94,6 +97,7 @@
Both $f$ and the identity are compatible with $T$ (in the sense of acyclic models, \S\ref{sec:moam}),
so $f$ and the identity map are homotopic.
\end{proof}
+} %%%%%%%%%%%%% end \noop
For the next proposition we will temporarily restore $n$-manifold boundary
conditions to the notation. Let $X$ be an $n$-manifold, with $\bd X = Y \cup Y \cup Z$.