Baire space

noun

A topological space such that every intersection of a countable collection of open dense sets in the space is also dense.

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Meanings

nounBaire space (plural Baire spaces)

plural Baire spaces

  1. A topological space such that every intersection of a countable collection of open dense sets in the space is also dense.

Origin

Introduced by René-Louis Baire.

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Cite this entry
APA

Baire space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Baire%20space

MLA

“Baire space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Baire%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Baire space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Baire%20space.

Source: Baire space on Wiktionary, CC BY-SA 4.0.