Cantor–Schroeder–Bernstein theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Cantor–Bernstein_theorem
gptkb:Schroeder–Bernstein_theorem |
| gptkbp:appliesTo |
sets
|
| gptkbp:concerns |
cardinality
infinite sets |
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor–Schroeder–Bernstein theorem
|
| gptkbp:implies |
if two sets are each embeddable in the other, they have the same cardinality
|
| gptkbp:namedAfter |
gptkb:Felix_Bernstein
gptkb:Georg_Cantor gptkb:Ernst_Schröder |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| 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:yearProved |
late 19th century
|
| gptkbp:bfsParent |
gptkb:Schroeder–Bernstein_theorem
|
| gptkbp:bfsLayer |
6
|