minor
authorScott Morrison <scott@tqft.net>
Sun, 19 Sep 2010 22:29:29 -0500
changeset 538 123a8b83e02c
parent 537 0b5c9bc25191
child 539 9caa4d68a8a5
minor
text/a_inf_blob.tex
text/deligne.tex
--- 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}
--- a/text/deligne.tex	Wed Sep 15 13:33:47 2010 -0500
+++ b/text/deligne.tex	Sun Sep 19 22:29:29 2010 -0500
@@ -107,7 +107,7 @@
 (See Figure \ref{xdfig3}.)
 \begin{figure}[t]
 $$\mathfig{.4}{deligne/dfig3a} \to \mathfig{.4}{deligne/dfig3b} $$
-\caption{Conjugating by a homeomorphism
+\caption{Conjugating by a homeomorphism.}
 \label{xdfig3}
 \end{figure}
 \item If $M_i = M'_i \du M''_i$ and $N_i = N'_i \du N''_i$ (and there is a
@@ -122,7 +122,7 @@
 (See Figure \ref{xdfig1}.)
 \begin{figure}[t]
 $$\mathfig{.3}{deligne/dfig1a} \leftarrow \mathfig{.3}{deligne/dfig1b} \rightarrow \mathfig{.3}{deligne/dfig1c}$$
-\caption{Changing the order of a surgery}\label{xdfig1}
+\caption{Changing the order of a surgery.}\label{xdfig1}
 \end{figure}
 \end{itemize}