000 02747nam a22005535i 4500
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
024 7 _a10.1007/b99421
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aKechris, Alexander S.
_eauthor.
245 1 0 _aTopics in Orbit Equivalence
_h[electronic resource] /
_cby Alexander S. Kechris.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2004.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2004.
300 _aX, 138 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x1617-9692 ;
_v1852
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
856 4 0 _uhttp://dx.doi.org/10.1007/b99421
942 _2EBK1262
_cEBK
999 _c30556
_d30556