text/a_inf_blob.tex
changeset 538 123a8b83e02c
parent 530 b236746e8e4d
child 544 24be062a87a1
--- a/text/a_inf_blob.tex	Wed Sep 15 13:33:47 2010 -0500
+++ b/text/a_inf_blob.tex	Sun Sep 19 22:29:29 2010 -0500
@@ -10,7 +10,7 @@
 that when $\cC$ is obtained from a system of fields $\cD$ 
 as the blob complex of an $n$-ball (see Example \ref{ex:blob-complexes-of-balls}), 
 $\cl{\cC}(M)$ is homotopy equivalent to
-our original definition of the blob complex $\bc_*^\cD(M)$.
+our original definition of the blob complex $\bc_*(M;\cD)$.
 
 %\medskip
 
@@ -33,7 +33,7 @@
 Given a system of fields $\cE$ and a $n{-}k$-manifold $F$, recall from 
 Example \ref{ex:blob-complexes-of-balls} that there is an  $A_\infty$ $k$-category $\cC_F$ 
 defined by $\cC_F(X) = \cE(X\times F)$ if $\dim(X) < k$ and
-$\cC_F(X) = \bc_*^\cE(X\times F)$ if $\dim(X) = k$.
+$\cC_F(X) = \bc_*(X\times F;\cE)$ if $\dim(X) = k$.
 
 
 \begin{thm} \label{thm:product}