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Record Nr. |
UNINA9910144617803321 |
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Autore |
Kechris Alexander |
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Titolo |
Topics in Orbit Equivalence [[electronic resource] /] / by Alexander Kechris, Benjamin D. Miller |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
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ISBN |
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Edizione |
[1st ed. 2004.] |
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Descrizione fisica |
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1 online resource (X, 138 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1852 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Analysis (Mathematics) |
Mathematical logic |
Functions of real variables |
Dynamics |
Ergodic theory |
Harmonic analysis |
Topology |
Analysis |
Mathematical Logic and Foundations |
Real Functions |
Dynamical Systems and Ergodic Theory |
Abstract Harmonic Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (pages 129-130) and index. |
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Nota di contenuto |
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Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index. |
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Sommario/riassunto |
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This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and amenability. Included here are proofs of Dye's theorem that probability measure-preserving, ergodic actions of the integers are orbit equivalent and of the theorem of Connes-Feldman-Weiss identifying amenability and hyperfiniteness for non-singular equivalence relations. The presentation here is often |
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