Commit 6c252796 authored by Leonard Guetta's avatar Leonard Guetta
Browse files

recompiled because weird things going on

parent f6ae46a7
......@@ -649,7 +649,7 @@ We now recall an important theorem due to Thomason.
\begin{remark}
It is possible to extend the previous corollary to prove that for every functor $f : X \to A$ ($X$ and $A$ being $1$\nbd{}categories), we have \[\hocolim^{\Th}_{a \in A} (X/a) \simeq X.\] However, to prove that it is also the case when $X$ is an $\oo$\nbd{}category and $f$ an $\oo$\nbd{}functor, as in Corollary \ref{cor:folkhmtpycol}, one would need to extend the Grothendieck construction to functors with value in $\oo\Cat$ and to prove an $\oo$\nbd{}categorical analogue of Theorem \ref{thm:Thomason}. Such results, while being highly plausible, go beyond the scope of this dissertation.
\end{remark}
Putting all the pieces together, we are now able to prove the awaited tyheorem.
Putting all the pieces together, we are now able to prove the awaited theorem.
\begin{theorem}\label{thm:categoriesaregood}
Every $1$\nbd{}category is \good{}.
\end{theorem}
......
No preview for this file type
Markdown is supported
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment