Baire space
id:
baire-space-309-1965478
title:
Baire space
text:
In mathematics, a topological space X is said to be a Baire space if countable unions of closed sets with empty interior also have empty interior.
According to the Baire category theorem, compact Hausdorff spaces and complete metric spaces are examples of Baire spaces.
The Baire category theorem combined with the properties of Baire spaces has numerous applications in topology, geometry, and analysis, in particular functional analysis. For more motivation and applications, see the article Baire
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in topology
original url:
https://en.wikipedia.org/wiki/Baire_space
date created:
date modified:
2023-12-26T18:35:12Z
main entity:
{"identifier":"Q1150180","url":"https://www.wikidata.org/entity/Q1150180"}
image:
fields total:
13
integrity:
14