Książka Topics in Orbit Equivalence Alexander S. Kechris

Topics in Orbit Equivalence

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
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This volume provides a self-contained introduction to some topics in orbit equivalence theory, a bra...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2004
strony
138
EAN
9783540226031
ISBN
3540226036
Enbook ID
05273748
Waga
238
Wymiary
156 x 234 x 8

Pełny opis

This 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.

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