Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
normal topological spaces
|
| gptkbp:category |
separation axioms
|
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Urysohn's lemma
|
| gptkbp:implies |
normal spaces are Tychonoff
|
| gptkbp:namedAfter |
gptkb:Pavel_Urysohn
|
| gptkbp:relatedTo |
gptkb:Urysohn_metrization_theorem
|
| gptkbp:state |
For any two disjoint closed subsets of a normal space, there exists a continuous function from the space to [0,1] mapping one closed set to 0 and the other to 1.
|
| gptkbp:usedIn |
gptkb:Tietze_extension_theorem
|
| gptkbp:yearProposed |
1925
|
| gptkbp:bfsParent |
gptkb:Topology
|
| gptkbp:bfsLayer |
5
|