From 3113e1da04d2a889840c5d4bbdff0e6525b121f3 Mon Sep 17 00:00:00 2001 From: Bokuan Li Date: Fri, 10 Jul 2026 18:38:50 -0400 Subject: [PATCH] Fixed typo. --- src/topology/main/compact.tex | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/src/topology/main/compact.tex b/src/topology/main/compact.tex index db05182..8cf2c96 100644 --- a/src/topology/main/compact.tex +++ b/src/topology/main/compact.tex @@ -19,9 +19,7 @@ U_J = \bigcup_{j \in J}E_j^c \] - then $U_J \subset X$ is open. For any $J, J' \subset I$, $U_J \cup U_{J'} = U_{J \cup J'}$. - - Suppose for contradiction that $\bigcap_{i \in I}E_i = \emptyset$, then + then $U_J \subset X$ is open. Suppose for contradiction that $\bigcap_{i \in I}E_i = \emptyset$, then \[ \mathbf{U} = \bracs{U_J|J \subset I \text{ finite}} \]