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The equivalence of various forms of the axiom of choice, Hausdorff maximality principle, and the Tychonoff product theoremUnknown Date (has links)
"The purpose of this paper is to examine the various statements of the Axiom of Choice and the Hausdorff Maximality Principle, and the Tychonoff Product Theorem; and to show that they are logically equivalent"--Preface. / "June, 1957." / Typescript. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Arts." / Advisor: James Watson Ellis, Professor Directing Paper. / Includes bibliographical references (leaf 46).
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On arithmetic in free monoids.Zeamer, Richard Warwick January 1972 (has links)
No description available.
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Superharmonic and multiply superharmonic functions and Jensen measures in axiomatic Brelot spacesAlakhrass, Mohammad January 2009 (has links)
No description available.
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Certain Properties of Functions Related to ExhaustibilityBradford, James C. 05 1900 (has links)
In this thesis, we shall attempt to present a study of certain properties of real functions related to the set property exhaustible.
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On the Development of Descriptive Set TheorySchlee, Glen A. (Glen Alan) 08 1900 (has links)
In the thesis, the author traces the historical development of descriptive set theory from the work of H. Lebesgue to the introduction of projective descriptive set theory. Proofs of most of the major results are given. Topics covered include Corel lattices, universal sets, the operation A, analytic sets, coanalytic sets, and the continuum hypothesis The appendix contains a translation of the famous letters exchanged between R. Baire, E. Borel, J. Hadamard and H. Lebesgue concerning Zermelo's axiom of choice.
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Contributions to Descriptive Set TheoryAtmai, Rachid 08 1900 (has links)
In this dissertation we study closure properties of pointclasses, scales on sets of reals and the models L[T2n], which are very natural canonical inner models of ZFC. We first characterize projective-like hierarchies by their associated ordinals. This solves a conjecture of Steel and a conjecture of Kechris, Solovay, and Steel. The solution to the first conjecture allows us in particular to reprove a strong partition property result on the ordinal of a Steel pointclass and derive a new boundedness principle which could be useful in the study of the cardinal structure of L(R). We then develop new methods which produce lightface scales on certain sets of reals. The methods are inspired by Jackson’s proof of the Kechris-Martin theorem. We then generalize the Kechris-Martin Theorem to all the Π12n+1 pointclasses using Jackson’s theory of descriptions. This in turns allows us to characterize the sets of reals of a certain initial segment of the models L[T2n]. We then use this characterization and the generalization of Kechris-Martin theorem to show that the L[T2n] are unique. This generalizes previous work of Hjorth. We then characterize the L[T2n] in term of inner models theory, showing that they actually are constructible models over direct limit of mice with Woodin cardinals, a counterpart to Steel’s result that the L[T2n+1] are extender models, and finally show that the generalized contiuum hypothesis holds in these models, solving a conjecture of Woodin.
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Soft AI methods and visual speech recognitionSaeed, Mehreen January 1999 (has links)
No description available.
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Mass assignments for inductive logic programmingHill, Carla January 2000 (has links)
No description available.
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Essays on quasi-orderings and population ethicsPiggins, Ashley James January 1998 (has links)
No description available.
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Classification of defects using uncertainty in industrial web inspectionWilson, Duncan John January 1998 (has links)
No description available.
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