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The Descriptive Set Theory of Polish Group Actions by Howard Becker
The Descriptive Set Theory of Polish Group Actions by Howard Becker
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The Descriptive Set Theory of Polish Group Actions

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Description

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.
Release date NZ
December 5th, 1996
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
152
Dimensions
152x228x11
ISBN-13
9780521576055
Product ID
2066273

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