Definition:Baire Space (Topology)/Definition 2
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
$T$ is a Baire space if and only if the intersection of any countable set of open sets of $T$ which are everywhere dense is everywhere dense.
Also see
- Results about Baire spaces can be found here.
Source of Name
This entry was named for René-Louis Baire.
Sources
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Baire space