Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
topological concept |
| gptkbp:application |
gptkb:general_topology
functional analysis |
| gptkbp:defines |
A topological space in which the intersection of countably many dense open sets is dense.
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Baire spaces
|
| gptkbp:namedAfter |
gptkb:René-Louis_Baire
|
| gptkbp:property |
The real numbers with the usual topology form a Baire space.
Every complete metric space is a Baire space. The Baire category theorem characterizes Baire spaces. Every locally compact Hausdorff space is a Baire space. |
| gptkbp:relatedTo |
gptkb:Baire_category_theorem
complete metric space locally compact space meager set nowhere dense set |
| gptkbp:bfsParent |
gptkb:strong_Choquet_game
|
| gptkbp:bfsLayer |
8
|