Bernstein–Cantor–Schroeder theorem

GPTKB entity
AI-created image of Bernstein–Cantor–Schroeder theorem
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Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Cantor–Bernstein_theorem
gptkb:Schroeder–Bernstein_theorem
gptkbp:appliesTo cardinality
infinite sets
gptkbp:category theorem about cardinal numbers
gptkbp:field gptkb:set_theory
gptkbp:firstPublished late 19th century
https://www.w3.org/2000/01/rdf-schema#label Bernstein–Cantor–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: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:Felix_Bernstein
gptkbp:bfsLayer 4