Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Equivalence Relations and Reductions
- 2 Countable Borel Equivalence Relations
- 3 Essentially Countable Relations
- 4 Invariant and Quasi-invariant Measures
- 5 Smoothness, E0 and E∞
- 6 Rigidity and Incomparability
- 7 Hyperfiniteness
- 8 Amenability
- 9 Treeability
- 10 Freeness
- 11 Universality
- 12 The Poset of Bireducibility Types
- 13 Structurability
- 14 Topological Realizations
- 15 A Universal Space for Actions and Equivalence Relations
- 16 Open Problems
- References
- List of Notation
- Subject Index
8 - Amenability
Published online by Cambridge University Press: 07 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Equivalence Relations and Reductions
- 2 Countable Borel Equivalence Relations
- 3 Essentially Countable Relations
- 4 Invariant and Quasi-invariant Measures
- 5 Smoothness, E0 and E∞
- 6 Rigidity and Incomparability
- 7 Hyperfiniteness
- 8 Amenability
- 9 Treeability
- 10 Freeness
- 11 Universality
- 12 The Poset of Bireducibility Types
- 13 Structurability
- 14 Topological Realizations
- 15 A Universal Space for Actions and Equivalence Relations
- 16 Open Problems
- References
- List of Notation
- Subject Index
Summary
We survey the theory of amenable countable Borel equivalence relations.
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- The Theory of Countable Borel Equivalence Relations , pp. 81 - 92Publisher: Cambridge University PressPrint publication year: 2024