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
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Appears in Collections:Jay and Jeanie Schottenstein Honors Student Theses

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