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Some results of abstract set theory

"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).
ContributorsSanders, Bobby Lee (authoraut), McCarthy, Paul J. (Paul Joseph), 1928- (professor directing thesis), Florida State University (degree granting institution)
PublisherFlorida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource (iii, 25 leaves), computer, application/pdf

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