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.
Descriptive Set Theory
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Author : Yiannis N. Moschovakis
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-31
Descriptive Set Theory written by Yiannis N. Moschovakis and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-31 with Mathematics categories.
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.
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.
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.
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.
Large Cardinals Determinacy And Other Topics
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Author : Alexander S. Kechris
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-05
Large Cardinals Determinacy And Other Topics written by Alexander S. Kechris 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 2020-11-05 with Mathematics categories.
The final volume in a series of four books presenting the seminal papers from the Caltech-UCLA 'Cabal Seminar'.