The Descriptive Set Theory Of Polish Group Actions

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 : 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 : Howard Becker
Publisher :
ISBN 13 : 9781107367371
Total Pages : 152 pages
Book Rating : 4.79/5 ( download)

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Download or read book The Descriptive Set Theory of Polish Group Actions written by Howard Becker and published by . This book was released on 1996 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research monograph on set theory by two of the world's leading researchers.

Author : Alexander Kechris
Publisher : Springer Science & Business Media
ISBN 13 : 1461241901
Total Pages : 419 pages
Book Rating : 4.04/5 ( download)

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Download or read book Classical Descriptive Set Theory written by Alexander Kechris and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.

Author : A. S. Kechris
Publisher : American Mathematical Soc.
ISBN 13 : 0821848941
Total Pages : 258 pages
Book Rating : 4.44/5 ( download)

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Download or read book Global Aspects of Ergodic Group Actions written by A. S. Kechris and published by American Mathematical Soc.. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of ergodic, measure preserving actions of countable discrete groups on standard probability spaces. It explores a direction that emphasizes a global point of view, concentrating on the structure of the space of measure preserving actions of a given group and its associated cocycle spaces.

Author : M. Foreman
Publisher : Cambridge University Press
ISBN 13 : 9780521786447
Total Pages : 304 pages
Book Rating : 4.44/5 ( download)

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Download or read book Descriptive Set Theory and Dynamical Systems written by M. Foreman and published by Cambridge University Press. This book was released on 2000-05-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.

Author : Paul B. Larson
Publisher : American Mathematical Soc.
ISBN 13 : 1470454629
Total Pages : 330 pages
Book Rating : 4.23/5 ( download)

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Download or read book Geometric Set Theory written by Paul B. Larson and published by American Mathematical Soc.. This book was released on 2020-07-16 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate new distinctions between Borel equivalence relations. Part II contains applications to independence results in Zermelo–Fraenkel set theory without Axiom of Choice. The method makes it possible to classify in great detail various paradoxical objects obtained using the Axiom of Choice; the classifying criterion is a ZF-provable implication between the existence of such objects. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics: ultrafilters, Hamel bases, transcendence bases, colorings of Borel graphs, discontinuous homomorphisms between Polish groups, and many more. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.

Author : Jan Van Eijck
Publisher : Cambridge University Press
ISBN 13 : 1108583482
Total Pages : pages
Book Rating : 4.80/5 ( download)

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Download or read book Logic Colloquium '99 written by Jan Van Eijck and published by Cambridge University Press. This book was released on 2017-03-30 with total page 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 seventeenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Utrecht, The Netherlands in August, 1999. It includes surveys and research articles from some of the world's preeminent logicians. Two long articles are based on tutorials given at the meeting and present accessible expositions of current research in geometric model theory and the descriptive set theory of group actions. The other articles cover current research topics in all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.

Author : Su Gao
Publisher : American Mathematical Soc.
ISBN 13 : 0821831909
Total Pages : 93 pages
Book Rating : 4.08/5 ( download)

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Download or read book On the Classification of Polish Metric Spaces Up to Isometry written by Su Gao and published by American Mathematical Soc.. This book was released on 2003 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joan Bagaria
Publisher : Springer Science & Business Media
ISBN 13 : 3764376929
Total Pages : 408 pages
Book Rating : 4.25/5 ( download)

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Download or read book Set Theory written by Joan Bagaria and published by Springer Science & Business Media. This book was released on 2006-09-05 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more.