Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4252
Title: | Proofs of the Cantor-Bernstein Theorem |
Authors: | Shmalo, Yitzchak |
Keywords: | Set theory. Logic, Symbolic and mathematical. Mathematics. |
Issue Date: | Jun-2016 |
Publisher: | Yeshiva College |
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. |
Description: | The file is restricted for YU community access only. |
URI: | https://hdl.handle.net/20.500.12202/4252 https://ezproxy.yu.edu/login?url=https://repository.yu.edu/handle/20.500.12202/4252 |
Appears in Collections: | Jay and Jeanie Schottenstein Honors Student Theses |
Files in This Item:
File | Description | Size | Format | |
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Yitzchak-Shmalo.pdf Restricted Access | 5.6 MB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License