Proofs of the Cantor-Bernstein Theorem
| dc.contributor.author | Shmalo, Yitzchak | |
| dc.date.accessioned | 2018-11-14T20:48:10Z | |
| dc.date.available | 2018-11-14T20:48:10Z | |
| dc.date.issued | 2016-06 | |
| dc.description | The file is restricted for YU community access only. | |
| dc.description.abstract | In this work I will examine and compare different proofs of the Cantor-Bernstein theorem. Additionally, I will give a new and somewhat different proof. The Cantor-Bernstein Theorem states that if there is an injective function, f, from a set A to a set B, and an injective function, g, from the set B to the set A, then there exists a bijection, h, between A and B. This means that the two sets have the same cardinality, that is, they have the same size. | en_US |
| dc.description.sponsorship | Jay and Jeanie Schottenstein Honors Program | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12202/4252 | |
| dc.identifier.uri | https://ezproxy.yu.edu/login?url=https://repository.yu.edu/handle/20.500.12202/4252 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Yeshiva College | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Set theory. | en_US |
| dc.subject | Logic, Symbolic and mathematical. | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | Proofs of the Cantor-Bernstein Theorem | en_US |
| dc.type | Thesis | en_US |
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