Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:alsoKnownAs |
regular Hausdorff axiom
|
| gptkbp:appliesTo |
topological spaces
|
| gptkbp:characterizedBy |
gptkb:regular_Hausdorff_spaces
|
| gptkbp:defines |
A topological space is T3 if it is regular and T0.
|
| gptkbp:formalStatement |
For every closed set F and point x not in F, there exist disjoint open sets containing x and F respectively.
|
| https://www.w3.org/2000/01/rdf-schema#label |
T3 separation axiom
|
| gptkbp:implies |
gptkb:T1_separation_axiom
Hausdorff space regular space |
| gptkbp:introducedIn |
20th century
|
| gptkbp:relatedTo |
gptkb:T0_separation_axiom
gptkb:T1_separation_axiom gptkb:T2_separation_axiom gptkb:T4_separation_axiom |
| gptkbp:usedIn |
gptkb:general_topology
|
| gptkbp:bfsParent |
gptkb:T0_separation_axiom
|
| gptkbp:bfsLayer |
7
|