000 | 02747nam a22005535i 4500 | ||
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001 | 978-3-540-44508-1 | ||
003 | DE-He213 | ||
005 | 20160624101819.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2004 gw | s |||| 0|eng d | ||
020 |
_a9783540445081 _9978-3-540-44508-1 |
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024 | 7 |
_a10.1007/b99421 _2doi |
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050 | 4 | _aQA8.9-10.3 | |
072 | 7 |
_aPBC _2bicssc |
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072 | 7 |
_aPBCD _2bicssc |
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072 | 7 |
_aMAT018000 _2bisacsh |
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082 | 0 | 4 |
_a511.3 _223 |
100 | 1 |
_aKechris, Alexander S. _eauthor. |
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245 | 1 | 0 |
_aTopics in Orbit Equivalence _h[electronic resource] / _cby Alexander S. Kechris. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2004. |
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264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2004. |
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300 |
_aX, 138 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1852 |
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505 | 0 | _aPreface -- I. Orbit Equivalence -- II. Amenability and Hyperfiniteness -- III. Costs of Equivalence Relations and Groups -- References -- Index. | |
520 | _aThis 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 for actions of free groups. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aLogic, Symbolic and mathematical. | |
650 | 0 | _aTopology. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aMathematical Logic and Foundations. |
650 | 2 | 4 | _aReal Functions. |
650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
650 | 2 | 4 | _aAbstract Harmonic Analysis. |
650 | 2 | 4 | _aTopology. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540226031 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x1617-9692 ; _v1852 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b99421 |
942 |
_2EBK1262 _cEBK |
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999 |
_c30556 _d30556 |