Definition:Baire Space (Topology)/Definition 1

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Definition

Let $T = \struct {S, \tau}$ be a topological space.


$T$ is a Baire space if and only if the union of any countable set of closed sets of $T$ whose interiors are empty also has an empty interior.


Also see

  • Results about Baire spaces can be found here.


Source of Name

This entry was named for René-Louis Baire.


Sources