Date of Award

4-1966

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

The purpose of this paper is to present the proofs of several theorems that are equivalent to the Hausdorff Maximal Principle. The statements of the theorems and definitions are from Kelley (2), pages 32-33. Also included is a summary of a paper by Kelley (3) that proves the unusual result that the Tychonoff Product Theorem implies the Axiom of Choice.

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