Nagata–Smirnov metrization theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:concerns |
metrization
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Nagata–Smirnov metrization theorem
|
| gptkbp:implies |
gptkb:Urysohn_metrization_theorem
|
| gptkbp:namedAfter |
gptkb:Yuri_Smirnov
Jun-iti Nagata |
| gptkbp:relatedTo |
gptkb:Urysohn_metrization_theorem
|
| gptkbp:state |
A topological space is metrizable if and only if it is regular, Hausdorff, and has a σ-locally finite basis.
|
| gptkbp:yearProved |
1950
|
| gptkbp:bfsParent |
gptkb:Urysohn_metrization_theorem
|
| gptkbp:bfsLayer |
7
|