text/a_inf_blob.tex
changeset 426 8aca80203f9d
parent 420 257066702f60
child 441 c50ae482fe6a
child 445 45807ce15615
--- 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 $b^\sharp$.