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bn:01510903n
Noun Named Entity
Categories: Descriptive set theory, Determinacy
EN
property of Baire  almost open set  Baire's property  Baire property  Baire set
EN
A subset A {\displaystyle A} of a topological space X {\displaystyle X} has the property of Baire, or is called an almost open set, if it differs from an open set by a meager set; that is, if there is an open set U ⊆ X {\displaystyle U\subseteq X} such that A △ U {\displaystyle A\bigtriangleup U} is meager. Wikipedia
Definitions
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EN
A subset A {\displaystyle A} of a topological space X {\displaystyle X} has the property of Baire, or is called an almost open set, if it differs from an open set by a meager set; that is, if there is an open set U ⊆ X {\displaystyle U\subseteq X} such that A △ U {\displaystyle A\bigtriangleup U} is meager. Wikipedia
property of sets in a topological space that differ from open sets by meager sets Wikidata
IS A
property
DESCRIBED BY SOURCE
Baire category theorem
NAMED AFTER
René-Louis Baire
Wikipedia
EN
property of Baire
Wikidata
EN
property of Baire
Wikipedia Redirections
EN
almost open set, Baire's property, Baire property, Baire set (general topology), Property of baire

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