Source: wikibot/baire-space-set-theory
= Baire space (set theory)
{wiki=Baire_space_(set_theory)}
In set theory and topology, a **Baire space** is a topological space that satisfies a particular property related to the concept of "largeness" in topology. Specifically, a topological space \\( X \\) is called a Baire space if the intersection of any countable collection of dense open sets in \\( X \\) is dense in \\( X \\).