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31	Applications of a Model-Theoretic Approach to Borel Equivalence Relations Craft, 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. descriptive set theory marker set Borel structuring
32	Computer support for large character set languages Hsu, Siu Chi January 1991 (has links) No description available. 005 Chinese character set
33	The costs of switching between cognitive tasks : a performance analysis Rogers, Robert January 1993 (has links) No description available. 150 Task set
34	The axiom : 'all free groups are projective in Ab(E)' Bartley, Michael George January 1988 (has links) No description available. 510 Set theory and topology
35	Some studies in 'finitary' set theory Popham, S. J. January 1985 (has links) No description available. 510 Set theory analysis
36	Consistency results concerning subtlety Michael, L. A. January 1996 (has links) No description available. 510 Set theory
37	Combinatorial applications of the core model Walker, D. J. January 1985 (has links) No description available. 510 Set theory
38	The Comparability of Cardinals Owen, 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. cardinal numbers infinite set
39	Measure Functions Ottwell, 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. Borel set Haar measure
40	Integrability, Measurability, and Summability of Certain Set Functions Dawson, Dan Paul 12 1900 (has links) The purpose of this paper is to investigate the integrability, measurability, and summability of certain set functions. The paper is divided into four chapters. The first chapter contains basic definitions and preliminary remarks about set functions and absolute continuity. In Chapter i, the integrability of bounded set functions is investigated. The chapter culminates with a theorem that characterizes the transmission of the integrability of a real function of n bounded set functions. In Chapter III, measurability is defined and a characterization of the transmission of measurability by a function of n variables is provided, In Chapter IV, summability is defined and the summability of set functions is investigated, Included is a characterization of the transmission of summability by a function of n variables. set functions absolute continuity in mathematics integrability of bounded set functions measurability of set functions Set functions.

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