Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
separation axiom |
| gptkbp:alsoKnownAs |
gptkb:Kolmogorov_axiom
|
| gptkbp:appliesTo |
gptkb:topology
|
| gptkbp:category |
gptkb:general_topology
|
| gptkbp:characterizedBy |
gptkb:Kolmogorov_space
|
| gptkbp:defines |
For any two distinct points in a topological space, there exists an open set containing one but not the other.
|
| https://www.w3.org/2000/01/rdf-schema#label |
T0 separation axiom
|
| gptkbp:implies |
no two distinct points are topologically indistinguishable
|
| gptkbp:introducedIn |
gptkb:Kolmogorov's_1935_paper_on_topology
|
| gptkbp:isWeakerThan |
gptkb:T1_separation_axiom
gptkb:T2_separation_axiom gptkb:T3_separation_axiom gptkb:T4_separation_axiom gptkb:T5_separation_axiom gptkb:T6_separation_axiom |
| gptkbp:namedAfter |
gptkb:Andrey_Kolmogorov
|
| gptkbp:relatedTo |
gptkb:Kolmogorov_space
gptkb:T1_separation_axiom gptkb:T2_separation_axiom |
| gptkbp:symbol |
T0
|
| gptkbp:bfsParent |
gptkb:Scott_topology
|
| gptkbp:bfsLayer |
6
|