Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A separable completely metrizable topological space
|
| gptkbp:example |
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 spaces
|
| gptkbp:importantFor |
gptkb:probability_theory
gptkb:descriptive_set_theory functional analysis |
| gptkbp:namedAfter |
gptkb:Kazimierz_Kuratowski
|
| gptkbp:property |
countable product of Polish spaces is Polish
every closed subspace is Polish every open subspace is Polish Borel isomorphism between uncountable Polish spaces continuous image of a Polish space need not be Polish |
| gptkbp:relatedTo |
gptkb:Borel_sets
complete metric space separable space analytic sets |
| gptkbp:bfsParent |
gptkb:set-theoretic_topology
gptkb:descriptive_set_theory |
| gptkbp:bfsLayer |
6
|