Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:alsoKnownAs |
completely regular space
|
| gptkbp:category |
gptkb:general_topology
|
| gptkbp:defines |
A topological space X is T_{3.5} if for every closed set F and point x not in F, there exists a continuous function f: X → [0,1] with f(x)=0 and f|_F=1.
|
| https://www.w3.org/2000/01/rdf-schema#label |
T {3.5} (Tychonoff)
|
| gptkbp:implies |
Hausdorff space
regular space T_1 space |
| gptkbp:isPreservedUnder |
products
quotients continuous images subspaces |
| gptkbp:isWeakerThan |
normal space
regular space T_1 space |
| gptkbp:namedAfter |
gptkb:Andrey_Tychonoff
|
| gptkbp:usedIn |
gptkb:Tychonoff_theorem
gptkb:Urysohn's_lemma |
| gptkbp:bfsParent |
gptkb:Tychonoff_space
|
| gptkbp:bfsLayer |
7
|