# HG changeset patch
# User Scott Morrison <scott@tqft.net>
# Date 1313094213 25200
# Node ID ae5d0f91340b7762f870a2dd1daf553aaee15393
# Parent  c3cc526965a98e72ec61155362cc959f40ecfba3
fixing typos

diff -r c3cc526965a9 -r ae5d0f91340b RefereeReport.pdf
Binary file RefereeReport.pdf has changed
diff -r c3cc526965a9 -r ae5d0f91340b text/blobdef.tex
--- a/text/blobdef.tex	Thu Aug 11 12:50:50 2011 -0700
+++ b/text/blobdef.tex	Thu Aug 11 13:23:33 2011 -0700
@@ -43,7 +43,7 @@
 ``the space of all local relations that can be imposed on $\bc_0(X)$".
 Thus we say  a $1$-blob diagram consists of:
 \begin{itemize}
-\item An closed ball in $X$ (``blob") $B \sub X$.
+\item A closed ball in $X$ (``blob") $B \sub X$.
 \item A boundary condition $c \in \cF(\bdy B) = \cF(\bd(X \setmin B))$.
 \item A field $r \in \cF(X \setmin B; c)$.
 \item A local relation field $u \in U(B; c)$.
diff -r c3cc526965a9 -r ae5d0f91340b text/hochschild.tex
--- a/text/hochschild.tex	Thu Aug 11 12:50:50 2011 -0700
+++ b/text/hochschild.tex	Thu Aug 11 13:23:33 2011 -0700
@@ -12,7 +12,7 @@
 Hochschild complex of the 1-category $\cC$.
 (Recall from \S \ref{sec:example:traditional-n-categories(fields)} that a 
 $1$-category gives rise to a $1$-dimensional system of fields; as usual, 
-talking about the blob complex with coefficients in a $n$-category means 
+talking about the blob complex with coefficients in an $n$-category means 
 first passing to the corresponding $n$ dimensional system of fields.)
 Thus the blob complex is a natural generalization of something already
 known to be interesting in higher homological degrees.
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 
diff -r c3cc526965a9 -r ae5d0f91340b text/tqftreview.tex
--- a/text/tqftreview.tex	Thu Aug 11 12:50:50 2011 -0700
+++ b/text/tqftreview.tex	Thu Aug 11 13:23:33 2011 -0700
@@ -51,7 +51,7 @@
 The presentation here requires that the objects of $\cS$ have an underlying set, 
 but this could probably be avoided if desired.
 
-A $n$-dimensional {\it system of fields} in $\cS$
+An $n$-dimensional {\it system of fields} in $\cS$
 is a collection of functors $\cC_k : \cM_k \to \Set$ for $0 \leq k \leq n$
 together with some additional data and satisfying some additional conditions, all specified below.