03235nam 2200661 450 991048065130332120180613001306.01-4704-0434-6(CKB)3360000000465017(EBL)3114156(SSID)ssj0000973884(PQKBManifestationID)11533032(PQKBTitleCode)TC0000973884(PQKBWorkID)10984709(PQKB)10029123(MiAaPQ)EBC3114156(PPN)195417216(EXLCZ)99336000000046501720050324h20052005 uy| 0engur|n|---|||||txtccrRigidity theorems for actions of product groups and countable Borel equivalence relations /Greg Hjorth, Alexander S. KechrisProvidence, Rhode Island :American Mathematical Society,[2005]©20051 online resource (126 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 833"Volume 176, number 833 (first of 4 numbers)."0-8218-3771-0 Includes bibliographical references (pages 107-109).""Contents""; ""Introduction""; ""Chapter 0. Preliminaries""; ""0A. Actions""; ""0B. Equivalence relations""; ""0C. Borel notions""; ""0D. Measures""; ""0E. Borel actions and measures""; ""0F. Amenability""; ""Chapter 1. Actions of Free Groups and Treeable Equivalence Relations""; ""Chapter 2. A Cocycle Reduction Result""; ""Chapter 3. Some Applications""; ""3A. An ""elementary"" proof of existence of incomparables""; ""3B. Further ""elementary"" proofs of theorems of Adamsâ€?Kechris""; ""3C. ""Elementary"" proofs of results of Adams and Thomas""""3D. Relative ergodicity and rigidity results for product group actions""""Chapter 4. Factoring Homomorphisms""; ""Chapter 5. Further Applications""; ""5A. Rigidity results for reducibility and stable orbit equivalence""; ""5B. Products of hyperbolic groups""; ""Chapter 6. Product Actions, I""; ""Chapter 7. Product Actions, II""; ""Chapter 8. A Final Application""; ""Appendix A: Strong Notions of Ergodicity""; ""A1. Homomorphisms and relative ergodicity""; ""A2. E[sub(0)]â€?ergodicity and almost invariant sets""; ""A3. Almost invariant vectors""""E1. Amenable classes of structures""""E2. The factoring lemma""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 833.Set theoryBorel setsMeasure theoryErgodic theoryRigidity (Geometry)Electronic books.Set theory.Borel sets.Measure theory.Ergodic theory.Rigidity (Geometry)510 s511.3/22Hjorth Greg1963-67025Kechris A. S.1946-MiAaPQMiAaPQMiAaPQBOOK9910480651303321Rigidity theorems for actions of product groups and countable Borel equivalence relations2271248UNINA