# HG changeset patch # User Kevin Walker # Date 1304918111 25200 # Node ID 9ea10b1adfaad30074d4f2854dc15547b6a31f0b # Parent b88c4c4af945d994c2d62f538dbb14fd236a3f6e oops -- 3 reverts diff -r b88c4c4af945 -r 9ea10b1adfaa text/a_inf_blob.tex --- 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} diff -r b88c4c4af945 -r 9ea10b1adfaa text/ncat.tex --- 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