Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
analytic sets
|
| gptkbp:defines |
A subset of a Polish space that is the continuous image of a Borel set
|
| gptkbp:example |
The Cantor set is a Souslin set
The set of irrational numbers is a Souslin set The set of real numbers is a Souslin set |
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:generalizes |
gptkb:Borel_sets
|
| gptkbp:hasSubgroup |
gptkb:Polish_space
|
| https://www.w3.org/2000/01/rdf-schema#label |
Souslin sets
|
| gptkbp:importantFor |
gptkb:descriptive_set_theory
|
| gptkbp:namedAfter |
gptkb:Mikhail_Yakovlevich_Souslin
|
| gptkbp:property |
Souslin sets are closed under countable intersections
Souslin sets are closed under inverse continuous images Every Borel set is a Souslin set Not every Souslin set is Borel Souslin sets are closed under continuous images Souslin sets are closed under countable unions |
| gptkbp:relatedTo |
gptkb:Borel_sets
gptkb:projective_sets |
| gptkbp:studiedBy |
gptkb:Mikhail_Yakovlevich_Souslin
|
| gptkbp:bfsParent |
gptkb:Souslin_operation
|
| gptkbp:bfsLayer |
7
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