# Baire space

> English word · Noun

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

## Etymology
Introduced by René-Louis Baire.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/baire-space