Closed set

id: closed-set-250-4611924
title: Closed set
text: In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a closed set is a set which is closed under the limit operation. This should not be confused with a closed manifold.
brand slug: wiki
category slug: encyclopedia
description: Complement of an open subset
original url: https://en.wikipedia.org/wiki/Closed_set
date created:
date modified: 2023-12-26T03:13:34Z
main entity: {"identifier":"Q320357","url":"https://www.wikidata.org/entity/Q320357"}
image:
fields total: 13
integrity: 14

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