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Invariant descriptive set theory

Author: Su Gao
Publisher: Boca Raton : CRC Press, ©2009.
Series: Monographs and textbooks in pure and applied mathematics, 293.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Bringing together techniques from various areas of mathematics, this book presents an introduction to the basic concepts, methods, and results of invariant descriptive set theory. It reviews descriptive set theory; studies Polish groups and their actions; and covers Borel reducibility results on Borel, orbit, and definable equivalence relations.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gao, Su, 1968-
Invariant descriptive set theory.
Boca Raton : CRC Press, ©2009
(DLC) 2008031545
(OCoLC)150375706
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Su Gao
ISBN: 9781584887942 158488794X
OCLC Number: 449753712
Notes: "A Chapman & Hall book."
Description: 1 online resource (xiv, 383 pages) : illustrations.
Contents: Cover; Title; Copyright; Contents; Preface; Part I: Polish Group Actions; Chapter 1: Preliminaries; Chapter 2: Polish Groups; Chapter 3: Polish Group Actions; Chapter 4: Finer Polish Topologies; Part II: Theory of Equivalence Relations; Chapter 5: Borel Reducibility; Chapter 6: The Glimm-Effros Dichotomy; Chapter 7: Countable Borel Equivalence Relations; Chapter 8: Borel Equivalence Relations; Chapter 9: Analytic Equivalence Relations; Chapter 10: Turbulent Actions of Polish Groups; Part III: Countable Model Theory; Chapter 11: Polish Topologies of Infinitary Logic.
Series Title: Monographs and textbooks in pure and applied mathematics, 293.
Responsibility: Su Gao.

Abstract:

Bringing together techniques from various areas of mathematics, this book presents an introduction to the basic concepts, methods, and results of invariant descriptive set theory. It reviews  Read more...

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