diff -r bc4086c639b6 -r c57afb230bb1 text/basic_properties.tex --- 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 $\bd X = Y \cup Y \cup Z$.