Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:topology
|
| gptkbp:alsoKnownAs |
gptkb:Alexandroff_topology
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:characterizedBy |
arbitrary intersections of open sets are open
|
| gptkbp:hasProperty |
every preordered set induces an Alexandrov topology
closure under arbitrary intersections of open sets every Alexandrov topology corresponds to a preorder |
| gptkbp:hasSpecialCase |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Alexandrov topology
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Pavel_Alexandrov
|
| gptkbp:relatedTo |
specialization preorder
finite topological spaces |
| gptkbp:usedIn |
gptkb:order_theory
gptkb:general_topology domain theory |
| gptkbp:bfsParent |
gptkb:Pavel_Alexandrov
gptkb:Topology |
| gptkbp:bfsLayer |
5
|