--- a/text/a_inf_blob.tex Sun May 08 22:08:47 2011 -0700
+++ b/text/a_inf_blob.tex Sun May 08 22:15:11 2011 -0700
@@ -400,7 +400,7 @@
$$\cB^\cT(M) \simeq C_*(\Maps(M\to T)).$$
\end{thm}
\begin{rem}
-Lurie has shown in \cite[teorem 3.8.6]{0911.0018} that the topological chiral homology
+Lurie has shown in \cite[Theorem 3.8.6]{0911.0018} that the topological chiral homology
of an $n$-manifold $M$ with coefficients in a certain $E_n$ algebra constructed from $T$ recovers
the same space of singular chains on maps from $M$ to $T$, with the additional hypothesis that $T$ is $n-1$-connected.
This extra hypothesis is not surprising, in view of the idea described in Example \ref{ex:e-n-alg}
--- a/text/ncat.tex Sun May 08 22:08:47 2011 -0700
+++ b/text/ncat.tex Sun May 08 22:15:11 2011 -0700
@@ -837,7 +837,7 @@
\end{example}
-\begin{example}[te bordism $n$-category of $d$-manifolds, ordinary version]
+\begin{example}[The bordism $n$-category of $d$-manifolds, ordinary version]
\label{ex:bord-cat}
\rm
\label{ex:bordism-category}
@@ -912,7 +912,7 @@
linear combinations of connected components of $T$, and the local relations are trivial.
There's no way for the blob complex to magically recover all the data of $\pi^\infty_{\leq 0}(T) \iso C_* T$.
-\begin{example}[te bordism $n$-category of $d$-manifolds, $A_\infty$ version]
+\begin{example}[The bordism $n$-category of $d$-manifolds, $A_\infty$ version]
\rm
\label{ex:bordism-category-ainf}
As in Example \ref{ex:bord-cat}, for $X$ a $k$-ball, $k<n$, we define $\Bord^{n,d}_\infty(X)$