Umfang:
1 Online-Ressource (136 pages)
,
digital, PDF file(s).
ISBN:
9780511735264
Serie:
London Mathematical Society lecture note series 232
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9780521576055
Weitere Ausg.:
ISBN 9780521576055
Weitere Ausg.:
ISBN 9780521576055
Weitere Ausg.:
Erscheint auch als Becker, Howard Paul, 1899 - 1960 The descriptive set theory of Polish group actions Cambridge [u.a.] : Cambridge Univ. Press, 1996 ISBN 0521576059
Weitere Ausg.:
ISBN 9780521576055
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9780521576055
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Polnische Gruppe
;
Deskriptive Mengenlehre
DOI:
10.1017/CBO9780511735264
Mehr zum Autor:
Becker, Howard Paul 1899-1960
Mehr zum Autor:
Kechris, Alexander S. 1946-
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