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.
Recommended Citation
Knutson, John R., "Some Equivalents of the Hausdorff Maximal Principle: A Mathematical Essay" (1966). Master's Essays (1922 - ). 1450.
https://epublications.marquette.edu/essays/1450