Sequentially compact space
id:
sequentially-compact-space-287-5821844
title:
Sequentially compact space
text:
In mathematics, a topological space X is sequentially compact if every sequence of points in X has a convergent subsequence converging to a point in X . Every metric space is naturally a topological space, and for metric spaces, the notions of compactness and sequential compactness are equivalent. However, there exist sequentially compact topological spaces that are not compact, and compact topological spaces that are not sequentially compact.
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space where every sequence has a convergent subsequence
original url:
https://en.wikipedia.org/wiki/Sequentially_compact_space
date created:
date modified:
2024-02-12T23:36:59Z
main entity:
{"identifier":"Q1135427","url":"https://www.wikidata.org/entity/Q1135427"}
image:
fields total:
13
integrity:
14