diff options
author | Justin Gassner <justin.gassner@mailbox.org> | 2024-02-15 05:11:07 +0100 |
---|---|---|
committer | Justin Gassner <justin.gassner@mailbox.org> | 2024-02-15 05:11:07 +0100 |
commit | 7c66b227a494748e2a546fb85317accd00aebe53 (patch) | |
tree | 9c649667d2d024b90b32d36ca327ac4b2e7caeb2 /pages/general-topology/compactness | |
parent | 28407333ffceca9b99fae721c30e8ae146a863da (diff) | |
download | site-7c66b227a494748e2a546fb85317accd00aebe53.tar.zst |
Update
Diffstat (limited to 'pages/general-topology/compactness')
-rw-r--r-- | pages/general-topology/compactness/index.md | 4 |
1 files changed, 2 insertions, 2 deletions
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 %} - |