remaining LaTeX fixes

fpvandoorn · Feb 24, 2025 · e1da95a · e1da95a
1 parent a2ac424
commit e1da95a
Showing 1 changed file with 2 additions and 2 deletions.
diff --git a/blueprint/src/chapter/main.tex b/blueprint/src/chapter/main.tex
@@ -4790,7 +4790,7 @@ \section{The quantitative \texorpdfstring{$L^2$}{L2} tree estimate}
     Let $\fu \in \fU$ and $L \in \mathcal{L}(\fT(\fu))$. Then
     \begin{equation}
     \label{eq-1density-estimate-tree}
-        \mu(L \cap \bigcup_{\fp \in \fT(\fu)} E(\fp)) \le 2^{101a^3} \dens_1(\fT(\fu)) \mu(L)\,.
+        \mu(L \cap G \cap \bigcup_{\fp \in \fT(\fu)} E(\fp)) \le 2^{101a^3} \dens_1(\fT(\fu)) \mu(L)\,.
     \end{equation}
 \end{lemma}
 
@@ -5207,7 +5207,7 @@ \subsection{A partition of unity}
         \proves{Lipschitz-partition-unity}
         For each cube $J \in \mathcal{J}$ let
         $$
-            \tilde\chi_J(y) = \max\{0, 8 - D^{-s(J)} \rho(y, c(J))\}\,,
+            \tilde\chi_J(y) = \mathbf{1}_{\scI(\fu_1)}(y)\max\{0, 8 - D^{-s(J)} \rho(y, c(J))\}\,,
         $$
         and set
         $$