Bernstein's theorem (set theory)
GPTKB entity
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Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Cantor–Bernstein_theorem
gptkb:Schröder–Bernstein_theorem |
| gptkbp:appliesTo |
cardinality of sets
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bernstein's theorem (set theory)
|
| gptkbp:namedAfter |
gptkb:Felix_Bernstein
|
| gptkbp:provenBy |
gptkb:Felix_Bernstein
|
| gptkbp:relatedTo |
gptkb:Richard_Dedekind
gptkb:software gptkb:Ernst_Schröder gptkb:box_set bijection injection |
| gptkbp:sentence |
If there exist injective functions from set A to set B and from set B to set A, then there exists a bijective function between A and B.
|
| gptkbp:yearProposed |
1897
|
| gptkbp:bfsParent |
gptkb:Felix_Bernstein
|
| gptkbp:bfsLayer |
4
|