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单词 SchroderBernsteinTheorem
释义

Schröder-Bernstein theorem


Let S and T be sets.If there are injections ST and TS,then there is a bijection ST.

The Schröder-Bernstein theorem is usefulfor proving many results about cardinality,since it replaces one hard problem (finding a bijection between S and T)with two generally easier problems (finding two injections).

TitleSchröder-Bernstein theorem
Canonical nameSchroderBernsteinTheorem
Date of creation2013-03-22 12:21:46
Last modified on2013-03-22 12:21:46
Owneryark (2760)
Last modified byyark (2760)
Numerical id9
Authoryark (2760)
Entry typeTheorem
Classificationmsc 03E10
SynonymSchroeder-Bernstein theorem
SynonymCantor-Schroeder-Bernstein theorem
SynonymCantor-Schröder-Bernstein theorem
SynonymCantor-Bernstein theorem
Related topicAnInjectionBetweenTwoFiniteSetsOfTheSameCardinalityIsBijective
Related topicProofOfSchroederBernsteinTheoremUsingTarskiKnasterTheorem
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更新时间:2025/5/4 8:53:50