From 7c66b227a494748e2a546fb85317accd00aebe53 Mon Sep 17 00:00:00 2001 From: Justin Gassner Date: Thu, 15 Feb 2024 05:11:07 +0100 Subject: Update --- pages/general-topology/compactness/index.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'pages/general-topology/compactness') diff --git a/pages/general-topology/compactness/index.md b/pages/general-topology/compactness/index.md index 37e9b4d..6c2e274 100644 --- a/pages/general-topology/compactness/index.md +++ b/pages/general-topology/compactness/index.md @@ -26,7 +26,8 @@ if and only if it has the following property: then there exists a finite subcollection of $\mathcal{O}$ that covers $X$. If $\mathcal{A}$ is a collection of subsets of $X$, -let $\mathcal{A}^c = \braces{ X \setminus A : A \in \mathcal{A}}$ denote the collection of the complements of its members. +let $\mathcal{A}^c = \braces{ X \setminus A : A \in \mathcal{A}}$ denote +the collection of the complements of its members. Clearly, $\mathcal{B}$ is a subcollection of $\mathcal{A}$ if and only if $\mathcal{B}^c$ is a subcollection of $\mathcal{A}^c$. Moreover, note that $\mathcal{B}$ covers $X$ if and only if @@ -43,4 +44,3 @@ if and only if $\mathcal{A}^c$ consists of closed subsets of $X$. {% definition Finite Intersection Property%} TODO {% enddefinition %} - -- cgit v1.2.3-54-g00ecf