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 g...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Becker, Howard (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 1996
Schriftenreihe:	London Mathematical Society lecture note series 232
Schlagworte:	Polish spaces (Mathematics) Set theory Gruppenoperation Deskriptive Mengenlehre Topologie Polnische Gruppe
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (136 pages)
ISBN:	9780511735264
DOI:	10.1017/CBO9780511735264