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Applications of a Model-Theoretic Approach to Borel Equivalence RelationsCraft, Colin N. 08 1900 (has links)
The study of Borel equivalence relations on Polish spaces has become a major area of focus within descriptive set theory. Primarily, work in this area has been carried out using the standard methods of descriptive set theory. In this work, however, we develop a model-theoretic framework suitable for the study of Borel equivalence relations, introducing a class of objects we call Borel structurings. We then use these structurings to examine conditions under which marker sets for Borel equivalence relations can be concluded to exist or not exist, as well as investigating to what extent the Compactness Theorem from first-order logic continues to hold for Borel structurings.
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Computer support for large character set languagesHsu, Siu Chi January 1991 (has links)
No description available.
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33 |
The costs of switching between cognitive tasks : a performance analysisRogers, Robert January 1993 (has links)
No description available.
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34 |
The axiom : 'all free groups are projective in Ab(E)'Bartley, Michael George January 1988 (has links)
No description available.
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35 |
Some studies in 'finitary' set theoryPopham, S. J. January 1985 (has links)
No description available.
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36 |
Consistency results concerning subtletyMichael, L. A. January 1996 (has links)
No description available.
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37 |
Combinatorial applications of the core modelWalker, D. J. January 1985 (has links)
No description available.
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38 |
Exhaustibility and Related Set PropertiesCargal, Buchanan January 1950 (has links)
The purpose of this paper is to develop certain fundamental properties of exhaustible sets and their complements and to examine various set properties which are generalizations, with respect to exhaustible neglect, or well-known set properties.
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The Comparability of CardinalsOwen, Aubrey P. 05 1900 (has links)
The purpose of this composition is to develop a rigorous, axiomatic proof of the comparability of the cardinals of infinite sets.
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40 |
Measure FunctionsOttwell, Otho F. 08 1900 (has links)
This thesis examines measure functions. A measure function has as its domain of definition a class of sets. It also must satisfy a certain additive condition. To state a concise definition of a measure function, it is convenient to define set function and completely additive set function.
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