The Descriptive Set Theory of Polish Group Actions Paperback / softback
by Howard (University of South Carolina) Becker, Alexander S. (California Institute of Technology) Kechris
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
- Information
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.
Information
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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:152 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/12/1996
- Category:
- ISBN:9780521576055
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:152 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:05/12/1996
- Category:
- ISBN:9780521576055
