Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
a separable completely metrizable topological space
|
| gptkbp:example |
gptkb:Hilbert_space
gptkb:Baire_space gptkb:Cantor_set real numbers with standard topology |
| gptkbp:field |
gptkb:topology
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Polish space
|
| gptkbp:importantFor |
gptkb:probability_theory
gptkb:descriptive_set_theory functional analysis |
| gptkbp:introduced |
gptkb:Kazimierz_Kuratowski
|
| gptkbp:namedAfter |
gptkb:Poland
|
| gptkbp:property |
Borel sets are well-behaved
continuous image of Polish space is analytic countable product of Polish spaces is Polish every closed subspace is Polish every open subspace is Polish |
| gptkbp:bfsParent |
gptkb:topology
gptkb:Topology |
| gptkbp:bfsLayer |
5
|