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The Descriptive Set Theory of Polish Group Actions

Becker, Howard and Kechris, Alexander S. (1996) The Descriptive Set Theory of Polish Group Actions. London Mathematical Society Lecture Note Series. No.232. Cambridge University Press , Cambridge. ISBN 9780521576055. http://resolver.caltech.edu/CaltechAUTHORS:20180815-091513340

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Abstract

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.


Item Type:Book
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/CBO9780511735264DOIBook
Additional Information:© 1996 Cambridge University Press.
Record Number:CaltechAUTHORS:20180815-091513340
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180815-091513340
Official Citation:Becker, H., & Kechris, A. (1996). The Descriptive Set Theory of Polish Group Actions (London Mathematical Society Lecture Note Series). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511735264
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88812
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Aug 2018 17:00
Last Modified:15 Aug 2018 17:00

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