diff -r 8f488e576afd -r 8aca80203f9d text/a_inf_blob.tex --- a/text/a_inf_blob.tex Sun Jul 11 14:31:56 2010 -0600 +++ b/text/a_inf_blob.tex Sun Jul 11 14:38:48 2010 -0600 @@ -3,7 +3,7 @@ \section{The blob complex for $A_\infty$ $n$-categories} \label{sec:ainfblob} Given an $A_\infty$ $n$-category $\cC$ and an $n$-manifold $M$, we make the anticlimactically tautological definition of the blob -complex $\bc_*(M;\cC)$ to be the homotopy colimit $\cl{\cC}(M)$ of Section \ref{ss:ncat_fields}. +complex $\bc_*(M;\cC)$ to be the homotopy colimit $\cl{\cC}(M)$ of \S\ref{ss:ncat_fields}. We will show below in Corollary \ref{cor:new-old} @@ -53,7 +53,7 @@ \begin{proof} -We will use the concrete description of the colimit from Subsection \ref{ss:ncat_fields}. +We will use the concrete description of the colimit from \S\ref{ss:ncat_fields}. First we define a map \[ @@ -87,7 +87,7 @@ such that $a$ splits along $K_0\times F$ and $b$ is a generator appearing in an iterated boundary of $a$ (this includes $a$ itself). (Recall that $\ol{K} = (K_0,\ldots,K_l)$ denotes a chain of decompositions; -see Subsection \ref{ss:ncat_fields}.) +see \S\ref{ss:ncat_fields}.) By $(b, \ol{K})$ we really mean $(b^\sharp, \ol{K})$, where $b^\sharp$ is $b$ split according to $K_0\times F$. To simplify notation we will just write plain $b$ instead of $b^\sharp$.