
diff -r c3cc526965a9 -r ae5d0f91340b text/ncat.tex
--- a/text/ncat.tex	Thu Aug 11 12:50:50 2011 -0700
+++ b/text/ncat.tex	Thu Aug 11 13:23:33 2011 -0700
@@ -1171,8 +1171,8 @@
 \label{ex:blob-complexes-of-balls}
 Fix an $n{-}k$-dimensional manifold $F$ and an $n$-dimensional system of fields $\cE$.
 We will define an $A_\infty$ disk-like $k$-category $\cC$.
-When $X$ is a $m$-ball, with $m<k$, define $\cC(X) = \cE(X\times F)$.
-When $X$ is an $k$-ball,
+When $X$ is an $m$-ball, with $m<k$, define $\cC(X) = \cE(X\times F)$.
+When $X$ is a $k$-ball,
 define $\cC(X; c) = \bc^\cE_*(X\times F; c)$
 where $\bc^\cE_*$ denotes the blob complex based on $\cE$.
 \end{example}
@@ -1283,7 +1283,7 @@
 system of fields and local relations, followed by the usual TQFT definition of a 
 vector space invariant of manifolds given as Definition \ref{defn:TQFT-invariant}.
 For an $A_\infty$ disk-like $n$-category, $\cl{\cC}$ is defined using a homotopy colimit instead.
-Recall that we can take a ordinary disk-like $n$-category $\cC$ and pass to the ``free resolution", 
+Recall that we can take an ordinary disk-like $n$-category $\cC$ and pass to the ``free resolution", 
 an $A_\infty$ disk-like $n$-category $\bc_*(\cC)$, by computing the blob complex of balls 
 (recall Example \ref{ex:blob-complexes-of-balls} above).
 We will show in Corollary \ref{cor:new-old} below that the homotopy colimit invariant 




