Alexander S. Kechris

The Theory of Countable Borel Equivalence Relations

• Gebundenes Buch

Produktbeschreibung

"This book surveys the state of the art in a very active research area in descriptive set theory, which has important connections to many areas of mathematics, including group theory, dynamical systems, and operator algebras. It will be of great value to beginning graduate students and researchers in these areas"--

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 176
• Erscheinungstermin: 14. Oktober 2024
• Englisch
• Abmessung: 235mm x 157mm x 14mm
• Gewicht: 415g
• ISBN-13: 9781009562294
• ISBN-10: 1009562290
• Artikelnr.: 70743926

Autorenporträt

Alexander S. Kechris is Professor of Mathematics at the California Institute of Technology. He is the recipient of numerous honors, including the Sloan Research Fellowship, the J. S. Guggenheim Memorial Foundation Fellowship, and the Carol Karp Prize of the Association for Symbolic Logic. He is also an Inaugural Fellow of the American Mathematical Society.

Inhaltsangabe

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.