PlanetMath: Baire space

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Baire space

(Definition)

A Baire space is a topological space such that the intersection of any countable family of open and dense sets is dense.

"Baire space" is owned by Koro.

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Cross-references: dense, dense sets, open, countable, intersection, topological space
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This is version 2 of Baire space, born on 2003-06-11, modified 2004-02-27.
Object id is 4342, canonical name is BaireSpace.
Accessed 4416 times total.

Classification:

54E52 (General topology :: Spaces with richer structures :: Baire category, Baire spaces)

Pending Errata and Addenda

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