Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
separation axiom
|
| gptkbp:alsoKnownAs |
gptkb:completely_normal_Hausdorff
|
| gptkbp:appliesTo |
gptkb:topology
|
| gptkbp:defines |
A topological space is T5 if it is Hausdorff and any two separated sets can be separated by neighborhoods.
|
| https://www.w3.org/2000/01/rdf-schema#label |
T5 separation axiom
|
| gptkbp:implies |
gptkb:T0_separation_axiom
gptkb:T1_separation_axiom gptkb:T2_separation_axiom gptkb:T3_separation_axiom gptkb:T4_separation_axiom |
| gptkbp:introducedIn |
gptkb:general_topology
|
| gptkbp:property |
any two separated sets can be separated by disjoint open sets
|
| gptkbp:relatedTo |
Hausdorff space
normal space completely normal space |
| gptkbp:bfsParent |
gptkb:T0_separation_axiom
|
| gptkbp:bfsLayer |
7
|