Theory of Countable Borel Equivalence Relations

1. Equivalence relations and reductions; 2. Countable Borel equivalence relations; 3. Essentially countable relations; 4. Invariant and quasi-invariant measures; 5. Smoothness, $\mathbf{E}_0$ and $\mathbf{E}_\infty$; 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.

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• Análise funcional e transforma
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