Invariant Descriptive Set Theory And The Topological Approach To Model Theory

Author : Su Gao
Publisher : CRC Press
ISBN 13 : 9781584887942
Total Pages : 392 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Invariant Descriptive Set Theory written by Su Gao and published by CRC Press. This book was released on 2008-09-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem

Author : Douglas Edward Miller
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.23/5 ( download)

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Download or read book Invariant Descriptive Set Theory and the Topological Approach to Model Theory written by Douglas Edward Miller and published by . This book was released on 1976 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 :
Total Pages : 816 pages
Book Rating : 4.98/5 ( download)

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Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author : Yiannis N. Moschovakis
Publisher : American Mathematical Soc.
ISBN 13 : 0821848135
Total Pages : 521 pages
Book Rating : 4.35/5 ( download)

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Download or read book Descriptive Set Theory written by Yiannis N. Moschovakis and published by American Mathematical Soc.. This book was released on 2009-06-30 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptive Set Theory is the study of sets in separable, complete metric spaces that can be defined (or constructed), and so can be expected to have special properties not enjoyed by arbitrary pointsets. This subject was started by the French analysts at the turn of the 20th century, most prominently Lebesgue, and, initially, was concerned primarily with establishing regularity properties of Borel and Lebesgue measurable functions, and analytic, coanalytic, and projective sets. Its rapid development came to a halt in the late 1930s, primarily because it bumped against problems which were independent of classical axiomatic set theory. The field became very active again in the 1960s, with the introduction of strong set-theoretic hypotheses and methods from logic (especially recursion theory), which revolutionized it. This monograph develops Descriptive Set Theory systematically, from its classical roots to the modern ``effective'' theory and the consequences of strong (especially determinacy) hypotheses. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results (established since the 1980s) relating large cardinals and determinacy or allowing applications of Descriptive Set Theory to classical mathematics. The book includes all the necessary background from (advanced) set theory, logic and recursion theory.

Author : Jörg Flum
Publisher : Springer
ISBN 13 : 3540385444
Total Pages : 161 pages
Book Rating : 4.48/5 ( download)

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Download or read book Topological Model Theory written by Jörg Flum and published by Springer. This book was released on 2006-11-14 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stephen Douglas Dyck
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.85/5 ( download)

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Download or read book Some Applications of Positive Formulas in Descriptive Set Theory and Logic written by Stephen Douglas Dyck and published by . This book was released on 1983 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. S. Kechris
Publisher : Cambridge University Press
ISBN 13 : 9780521358118
Total Pages : 384 pages
Book Rating : 4.16/5 ( download)

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Download or read book Descriptive Set Theory and the Structure of Sets of Uniqueness written by A. S. Kechris and published by Cambridge University Press. This book was released on 1987-11-27 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.

Author : Howard Becker
Publisher : Cambridge University Press
ISBN 13 : 0521576059
Total Pages : 152 pages
Book Rating : 4.55/5 ( download)

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Download or read book The Descriptive Set Theory of Polish Group Actions written by Howard Becker and published by Cambridge University Press. This book was released on 1996-12-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.

Author : J. Barwise
Publisher : Cambridge University Press
ISBN 13 : 1316739392
Total Pages : 913 pages
Book Rating : 4.96/5 ( download)

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Download or read book Model-Theoretic Logics written by J. Barwise and published by Cambridge University Press. This book was released on 2017-03-02 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.

Author : Richard Mansfield
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.45/5 ( download)

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Download or read book Recursive Aspects of Descriptive Set Theory written by Richard Mansfield and published by Oxford University Press, USA. This book was released on 1985 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the nature of infinity with a view toward classifying and explaining its mathematical applications. It presents not only the basics of the classical theory, but also an introduction to the many important recent results and methods.