Definition:Baire Space (Topology)/Definition 4
Jump to navigation
Jump to search
Definition
Let $T = \struct {S, \tau}$ be a topological space.
$T$ is a Baire space if and only if, whenever the union of any countable set of closed sets of $T$ has an interior point, then one of those closed sets must have an interior point.
Also see
- Results about Baire spaces can be found here.
Source of Name
This entry was named for René-Louis Baire.