Cantor–Bernstein–Schroeder theorem
Sign in to saveAlso known as Cantor-Bernstein-Schroeder theorem, Bernstein Theorem, Cantor–Bernstein theorem, Bernstein–Schroeder theorem, Schröder–Bernstein theorem, Cantor–Schröder–Bernstein theorem
theorem that, if there exist injective functions in both directions between two sets, then there exists a bijection between them
Wikidata facts
- Instance of
- theorem
- Named after
- Georg Cantor
- Image
- CantorEquivalenceTheorem1887b.gif
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- logical consequence of
- Zermelo–Fraenkel set theory
- different from
- Cantor's theorem
- Commons category
- Schröder-Bernstein theorem
- maintained by WikiProject
- WikiProject Mathematics
- statement describes
- injection
- studied by
- set theory
- proved by
- Felix Bernstein
Sources (2)
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