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[null,"1.","Record Nr.",null,"UNINA9910144617803321"]
[null,null,"Autore",null,"Kechris Alexander"]
[null,null,"Titolo",null,"Topics in Orbit Equivalence / / by Alexander Kechris, Benjamin D. Miller"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004"]
[null,null,"ISBN",null,"3-540-44508-0"]
[null,null,"Edizione",null,"[1st ed. 2004.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 138 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1852"]
[null,null,"Disciplina",null,"515.48"]
[null,null,"Soggetti",null,"Mathematical analysis"]
[{"$nulls":4},"Analysis (Mathematics)"]
[{"$nulls":4},"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Functions of real variables"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Ergodic theory"]
[{"$nulls":4},"Harmonic analysis"]
[{"$nulls":4},"Topology"]
[{"$nulls":4},"Analysis"]
[{"$nulls":4},"Mathematical Logic and Foundations"]
[{"$nulls":4},"Real Functions"]
[{"$nulls":4},"Dynamical Systems and Ergodic Theory"]
[{"$nulls":4},"Abstract Harmonic Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 129-130) and index."]
[null,null,"Nota di contenuto",null,"Preface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index."]
[null,null,null,"Sommario/riassunto","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 influenced by descriptive set theory, and Borel and generic analogs of various results are discussed. The final chapter is a detailed account of Gaboriau's recent results on the theory of costs for equivalence relations and groups and its applications to proving rigidity theorems "]
[{"$nulls":4},"for actions of free groups."]