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The Descriptive Set Theory of Polish Group Actions (Electronic book text)
The Descriptive Set Theory of Polish Group Actions (Electronic book text): Howard Becker, Alexander S. Kechris
The Descriptive Set Theory of Polish Group Actions (Electronic book text): Howard Becker, Alexander S. Kechris

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The Descriptive Set Theory of Polish Group Actions (Electronic book text)

Howard Becker, Alexander S. Kechris

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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.

General

Imprint: Cambridge UniversityPress
Country of origin: United States
Release date: May 2014
Authors: Howard Becker • Alexander S. Kechris
Format: Electronic book text
ISBN-13: 978-1-299-40500-4
Barcode: 9781299405004
Categories: Promotions
Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
LSN: 1-299-40500-2

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