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UNINA9910788750003321 |
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Autore |
Hjorth Greg <1963-> |
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Titolo |
Rigidity theorems for actions of product groups and countable Borel equivalence relations / / Greg Hjorth, Alexander S. Kechris |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2005] |
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©2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (126 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 833 |
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Disciplina |
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Soggetti |
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Set theory |
Borel sets |
Measure theory |
Ergodic theory |
Rigidity (Geometry) |
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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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"Volume 176, number 833 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 107-109). |
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Nota di contenuto |
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""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 Adams�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)]�ergodicity |
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