From aa928717d0ff41a913a7e4ce0a46a4f587606ec3 Mon Sep 17 00:00:00 2001 From: Bokuan Li Date: Tue, 23 Jun 2026 19:40:45 -0400 Subject: [PATCH] Minor style adjustment in Urysohn. --- src/topology/main/lch.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/topology/main/lch.tex b/src/topology/main/lch.tex index 72c8d52..727a148 100644 --- a/src/topology/main/lch.tex +++ b/src/topology/main/lch.tex @@ -38,7 +38,7 @@ \begin{lemma}[Urysohn's Lemma (LCH)] \label{lemma:lch-urysohn} - Let $X$ be a LCH space, $K \subset X$ be compact, and $U \in \cn(K)$, then there exists $f \in C_c(X; [0, 1])$ such that $\supp{f} \subset U$. + Let $X$ be a LCH space, $K \subset X$ be compact, and $U \in \cn(K)$, then there exists $F \in C_c(X; [0, 1])$ such that $\supp{F} \subset U$. \end{lemma} \begin{proof}[Proof, {{\cite[Lemma 4.32]{Folland}}}. ] By \autoref{lemma:lch-compact-neighbour}, there exists $V, W \in \cn^o(K)$ precompact such that