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  • 1
    Online Resource
    Online Resource
    The descriptive set theory of Polish group actions / (1996)
    Cambridge [England] ; : Cambridge University Press,
    Details
    UID:
    almafu_9959234622902883
    Format: 1 online resource (136 pages) : , digital, PDF file(s).
    ISBN: 1-139-88232-5 , 1-107-36737-9 , 1-107-37194-5 , 1-107-36246-6 , 1-107-36964-9 , 1-299-40500-2 , 1-107-36491-4 , 0-511-89329-9 , 0-511-73526-X
    Series Statement: London Mathematical Society lecture note series ; 232
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , 3.4 The Glimm-Effros Dichotomy3.5 Universal equivalence relations; 4. INVARIANT MEASURES AND PARADOXICAL DECOMPOSITIONS; 4.1 Tarski's Theorem; 4.2 Countable decompositions; 4.3 Nadkarni's Theorem; 4.4 Proof of 4.2.1; 4.5 Sketch of proof of Nadkarni's Theorem; 4.6 Concluding remarks and problems; 5. BETTER TOPOLOGIES; 5.1 Finer topologies and Borel sets; 5.2 Topological realization of Borel G-spaces; 5.3 Topological realization of definable G-spaces; 5.4 Finer topologies on G-spaces; 6. MODEL THEORY AND THE VAUGHT CONJECTURE; 6.1 Background on the Vaught Conjecture , 6.2 The Topological Vaught Conjecture6.3 Atomic models; 7. ACTIONS WITH BOREL ORBIT EQUIVALENCE RELATIONS; 7.1 Characterizations; 7.2 Some effective considerations; 7.3 Decompositions; 7.4 Tame groups; 7.5 Normalizers; 8. DEFINABLE CARDINALITY; 8.1 Orbit cardinality; 8.2 Orbit cardinality for specific groups; References; Index , English
    Additional Edition: ISBN 0-521-57605-9
    Language: English
    URL: https://doi.org/10.1017/CBO9780511735264
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
  • 2
    Online Resource
    Online Resource
    The descriptive set theory of Polish group actions (1996)
    Cambridge : Cambridge University Press
    Details
    UID:
    gbv_883376946
    Format: 1 Online-Ressource (136 pages) , digital, PDF file(s).
    ISBN: 9780511735264
    Series Statement: London Mathematical Society lecture note series 232
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015)
    Additional Edition: ISBN 9780521576055
    Additional Edition: ISBN 9780521576055
    Additional Edition: ISBN 9780521576055
    Additional Edition: 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
    Additional Edition: ISBN 9780521576055
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9780521576055
    Language: English
    Subjects: Mathematics
    RVK:
    SK 340
    RVK:
    SI 320
    Keywords: Polnische Gruppe ; Deskriptive Mengenlehre
    DOI: 10.1017/CBO9780511735264
    URL: Volltext
    URL: Inhaltstext
    Author information: Becker, Howard Paul 1899-1960
    Author information: Kechris, Alexander S. 1946-
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
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