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200 10$aRigidity theorems for actions of product groups and countable Borel equivalence relations /$fGreg Hjorth, Alexander S. Kechris
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005]
210  4$d©2005
215   $a1 online resource (126 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 833
300   $a"Volume 176, number 833 (first of 4 numbers)."
311   $a0-8218-3771-0 
320   $aIncludes bibliographical references (pages 107-109).
327   $a""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 Adamsa???Kechris""; ""3C. ""Elementary"" proofs of results of Adams and Thomas""
327   $a""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)]a???ergodicity and almost invariant sets""; ""A3. Almost invariant vectors""
327   $a""E1. Amenable classes of structures""""E2. The factoring lemma""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 833.
606   $aSet theory
606   $aBorel sets
606   $aMeasure theory
606   $aErgodic theory
606   $aRigidity (Geometry)
608   $aElectronic books.
615  0$aSet theory.
615  0$aBorel sets.
615  0$aMeasure theory.
615  0$aErgodic theory.
615  0$aRigidity (Geometry)
676   $a510 s
676   $a511.3/22
700   $aHjorth$b Greg$f1963-$067025
702   $aKechris$b A. S.$f1946-
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906   $aBOOK
912   $a9910480651303321
996   $aRigidity theorems for actions of product groups and countable Borel equivalence relations$92271248
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