diff -r 853376c08d76 -r ef36cdefb130 text/basic_properties.tex --- a/text/basic_properties.tex Sun Jun 27 12:28:06 2010 -0700 +++ b/text/basic_properties.tex Sun Jun 27 12:53:11 2010 -0700 @@ -87,9 +87,9 @@ $r$ be the restriction of $b$ to $X\setminus S$. Note that $S$ is a disjoint union of balls. Assign to $b$ the acyclic (in positive degrees) subcomplex $T(b) \deq r\bullet\bc_*(S)$. -note that if a diagram $b'$ is part of $\bd b$ then $T(B') \sub T(b)$. +Note that if a diagram $b'$ is part of $\bd b$ then $T(B') \sub T(b)$. Both $f$ and the identity are compatible with $T$ (in the sense of acyclic models), -so $f$ and the identity map are homotopic. +so $f$ and the identity map are homotopic. \nn{We should actually have a section with a definition of `compatible' and this statement as a lemma} \end{proof} For the next proposition we will temporarily restore $n$-manifold boundary