Definition:Baire Space (Topology)/Definition 3
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
$T$ is a Baire space if and only if the interior of the union of any countable set of closed sets of $T$ which are nowhere dense is empty.
Also see
- Results about Baire spaces can be found here.
Source of Name
This entry was named for René-Louis Baire.
Sources
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