Cantor–Bernstein–Schroeder theorem
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Schroeder–Bernstein_theorem
|
| gptkbp:appliesTo |
infinite sets
finite sets |
| gptkbp:category |
theorem in mathematics
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:firstPublished |
late 19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cantor–Bernstein–Schroeder theorem
|
| gptkbp:implies |
two sets with mutual injections have the same cardinality
|
| gptkbp:namedAfter |
gptkb:Felix_Bernstein
gptkb:Georg_Cantor gptkb:Ernst_Schröder |
| gptkbp:relatedTo |
gptkb:box_set
cardinality 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:bfsParent |
gptkb:Cardinal_Arithmetic
|
| gptkbp:bfsLayer |
5
|