ouf ! Plus que l'intro et de la relecture. Je devrais changer la notion H_k...

ouf ! Plus que l'intro et de la relecture. Je devrais changer la notion H_k dans le dernier chapitre car il y a une ambiguité avec la notation de l'homologie

hmlgy.tex

@@ -1435,7 +1435,7 @@ Finally, we obtain the result we were aiming for.
   \]
   From Proposition \ref{prop:singhmlgylowdimension}, we know that $\alpha^{\sing}$ induces isomorphisms \[H_k^{\sing}(C) \simeq H_k(\lambda(C))\] for $k \in \{0,1\}$ and from Corollary \ref{cor:polhmlgycofibrant} and Paragraph \ref{paragr:polhmlgylowdimension} we know that $\alpha^{\pol}$ induces isomorphisms $H_k^{\pol}(C) \simeq H_k(\lambda(C))$ for $k \in \{0,1\}$. The result follows then from an immediate 2-out-of-3 property.
 \end{proof}
-\begin{paragr}
+\begin{paragr}\label{paragr:conjectureH2}
   A natural question following the above proposition is:
   \begin{center}
     For which $k \geq 0$ do we have $H_k^{\sing}(C) \simeq H_k^{\pol}(C)$ for every $\oo$\nbd{}category $C$ ?

recyclebin.tex

@@ -784,3 +784,17 @@ In this vast generalization of category theory, the objects of study have object
       & \ho(\Ch)\ar[from=1-2,to=A,"\pi",Rightarrow]
      \end{tikzcd}
      \]
+
+
+     %%%% CLASSIFYING BUBBLES
+     
+      In fact, this $2$\nbd{}category classifies bubbles in the
+  sense that the functor
+  \begin{align*}
+    2\Cat &\to \Set \\
+    C &\mapsto \Hom_{2\Cat}(B^2\mathbb{N},C)
+  \end{align*}
+  is canonically isomorphic to the functor that sends a $2$\nbd{}category to its
+  set of bubbles.
+
+  \todo{À finir}
\ No newline at end of file