Phragmen–Brouwer theorem
id:
phragmen-brouwer-theorem-308-13271137
title:
Phragmen–Brouwer theorem
text:
In topology, the Phragmén–Brouwer theorem, introduced by Lars Edvard Phragmén and Luitzen Egbertus Jan Brouwer, states that if X is a normal connected locally connected topological space, then the following two properties are equivalent: If A and B are disjoint closed subsets whose union separates X, then either A or B separates X.
X is unicoherent, meaning that if X is the union of two closed connected subsets, then their intersection is connected or empty. The theorem remains true with the wea
brand slug:
wiki
category slug:
encyclopedia
description:
Equivalent properties in a normal connected locally connected topological space
original url:
https://en.wikipedia.org/wiki/Phragmen%E2%80%93Brouwer_theorem
date created:
date modified:
2022-07-21T23:43:49Z
main entity:
{"identifier":"Q7188035","url":"https://www.wikidata.org/entity/Q7188035"}
image:
fields total:
13
integrity:
14