"The purpose of this paper is to present some of the elementary results of abstract set theory. This will include the definition of an 'order' relation for cardinal numbers, and a discussion of whether or not this definition defines a simple ordering of the cardinals. Although we will not answer this question fully, in the course of the discussion a key theorem (the Bernstein Theorem) will arise. The remainder of the paper will be devoted to a discussion of this theorem, its proof, a generalization due to Banach, a discussion of this proof, and a generalization of Banach's Theorem by Ky Fan"--Introduction. / Typescript. / "February, 1958." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Paul J. McCarthy, Professor Directing Paper. / Includes bibliographical references (leaf 25).
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_292284 |
| Contributors | Sanders, Bobby Lee (authoraut), McCarthy, Paul J. (Paul Joseph), 1928- (professor directing thesis), Florida State University (degree granting institution) |
| Publisher | Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (iii, 25 leaves), computer, application/pdf |
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