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Topics in Orbit Equivalence

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ISBN-10: 3540226036

ISBN-13: 9783540226031

Edition: 2004

Authors: Alexander S. Kechris, Benjamin D. Miller

List price: $49.95
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Book details

List price: $49.95
Copyright year: 2004
Publisher: Springer Berlin / Heidelberg
Publication date: 8/26/2004
Binding: Paperback
Pages: 138
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.484
Language: English

Orbit Equivalence
Group Actions and Equivalence Relations
Invariant Measures
Isomorphism and Orbit Equivalence
Amenability and Hyperfiniteness
Amenable Groups
Dye's Theorem
Quasi-invariant Measures
Amenable Equivalence Relations
Amenability vs. Hyperfiniteness
Groups of Polynomial Growth
Generic Hyperfiniteness
Generic Compressibility
Costs of Equivalence Relations and Groups
Countable Borel Equivalence Relations
More on Invariant Measures
Graphings of Equivalence Relations
Cost of an Equivalence Relation
Treeings of an Equivalence Relation
The Cost of a Smooth Equivalence Relation
The Cost of a Complete Section
Cost and Hyperfiniteness
Commuting Equivalence Relations
Subequivalence Relations of Finite Index
Cheap Equivalence Relations
Free and Amalgamated Joins
Costs and Free Actions
Cost of a Group
Treeable Groups
Cost and Amenable Groups
Generating Subgroups
Subgroups of Finite Index
Cheap Groups
Free and Amalgamated Products
A List of Open Problems