Binary file RefereeReport.pdf has changed
--- a/text/deligne.tex Thu Aug 11 12:59:06 2011 -0600
+++ b/text/deligne.tex Thu Aug 11 13:50:06 2011 -0600
@@ -160,7 +160,7 @@
We have now defined a map from the little $n{+}1$-balls operad to the $n$-SC operad,
with contractible fibers.
(The fibers correspond to moving the $D_i$'s in the $x_{n+1}$
-direction without changing their ordering.)
+direction while keeping them disjoint.)
%\nn{issue: we've described this by varying the $R_i$'s, but above we emphasize varying the $f_i$'s.
%does this need more explanation?}
--- a/text/ncat.tex Thu Aug 11 12:59:06 2011 -0600
+++ b/text/ncat.tex Thu Aug 11 13:50:06 2011 -0600
@@ -2117,7 +2117,7 @@
associated to $L$ by $\cX$ and $\cC$.
(See \S \ref{ss:ncat_fields} and \S \ref{moddecss}.)
Define $\cl{\cY}(L)$ similarly.
-For $K$ an unmarked 1-ball let $\cl{\cC(K)}$ denote the local homotopy colimit
+For $K$ an unmarked 1-ball let $\cl{\cC}(K)$ denote the local homotopy colimit
construction associated to $K$ by $\cC$.
Then we have an injective gluing map
\[
@@ -2225,7 +2225,7 @@
We only consider those decompositions in which the smaller balls are either
$0$-marked (i.e. intersect the $0$-marking of the large ball in a disc)
or plain (don't intersect the $0$-marking of the large ball).
-We can also take the boundary of a $0$-marked ball, which is $0$-marked sphere.
+We can also take the boundary of a $0$-marked ball, which is a $0$-marked sphere.
Fix $n$-categories $\cA$ and $\cB$.
These will label the two halves of a $0$-marked $k$-ball.
@@ -2618,7 +2618,6 @@
\caption{Moving $B$ from bottom to top}
\label{jun23c}
\end{figure}
-Let $D' = B\cap C$.
It is not hard too show that the above two maps are mutually inverse.
\begin{lem} \label{equator-lemma}