Invariant Descriptive Set Theory

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Invariant Descriptive Set Theory

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Author : Su Gao
language : en
Publisher: CRC Press
Release Date : 2008-09-03

Invariant Descriptive Set Theory written by Su Gao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-03 with Mathematics categories.

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

Invariant Descriptive Set Theory And The Topological Approach To Model Theory

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Author : Douglas Edward Miller
language : en
Publisher:
Release Date : 1976

Invariant Descriptive Set Theory And The Topological Approach To Model Theory written by Douglas Edward Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.

The Descriptive Set Theory Of Polish Group Actions

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Author : Howard Becker
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05

The Descriptive Set Theory Of Polish Group Actions written by Howard Becker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-05 with Mathematics categories.

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.

Combinatorial Set Theory Of C Algebras

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Author : Ilijas Farah
language : en
Publisher: Springer Nature
Release Date : 2019-12-24

Combinatorial Set Theory Of C Algebras written by Ilijas Farah and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-24 with Mathematics categories.

This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.

Model Theoretic Logics

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Author : J. Barwise
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02

Model Theoretic Logics written by J. Barwise and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.

This book brings together several directions of work in model theory between the late 1950s and early 1980s.

Transformation Groups And Invariant Measures Set Theoretical Aspects

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Author : Alexander B Kharazishvili
language : en
Publisher: World Scientific
Release Date : 1998-10-05

Transformation Groups And Invariant Measures Set Theoretical Aspects written by Alexander B Kharazishvili and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-05 with Mathematics categories.

This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various σ-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.

Cabal Seminar 76 77

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Author : A. S. Kechris
language : en
Publisher: Springer
Release Date : 2006-11-15

Cabal Seminar 76 77 written by A. S. Kechris and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Appalachian Set Theory

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Author : James Cummings
language : en
Publisher: Cambridge University Press
Release Date : 2012-11-15

Appalachian Set Theory written by James Cummings and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Mathematics categories.

Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Some Applications Of Positive Formulas In Descriptive Set Theory And Logic

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Author : Stephen Douglas Dyck
language : en
Publisher:
Release Date : 1983

Some Applications Of Positive Formulas In Descriptive Set Theory And Logic written by Stephen Douglas Dyck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Set Theory

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Author : Ralf Schindler
language : en
Publisher: Springer
Release Date : 2014-05-22

Set Theory written by Ralf Schindler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Mathematics categories.

This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory. The following topics are covered: • Forcing and constructability • The Solovay-Shelah Theorem i.e. the equiconsistency of ‘every set of reals is Lebesgue measurable’ with one inaccessible cardinal • Fine structure theory and a modern approach to sharps • Jensen’s Covering Lemma • The equivalence of analytic determinacy with sharps • The theory of extenders and iteration trees • A proof of projective determinacy from Woodin cardinals. Set Theory requires only a basic knowledge of mathematical logic and will be suitable for advanced students and researchers.