Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
locally compact Hausdorff spaces
complete metric spaces |
| gptkbp:field |
gptkb:topology
functional analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Baire category theorem
|
| gptkbp:implies |
every locally compact Hausdorff space is a Baire space
every complete metric space is a Baire space |
| gptkbp:namedAfter |
gptkb:René-Louis_Baire
|
| gptkbp:publicationYear |
1899
|
| gptkbp:relatedTo |
gptkb:Baire_space
category (mathematics) meager set nowhere dense set |
| gptkbp:statedIn |
gptkb:Baire's_1899_dissertation
|
| gptkbp:usedIn |
functional analysis
Banach space theory proof of closed graph theorem proof of open mapping theorem proof of uniform boundedness principle |
| gptkbp:bfsParent |
gptkb:Topology
|
| gptkbp:bfsLayer |
5
|