The Theory of Countable Borel Equivalence Relations by Alexander S Kechris

The Theory of Countable Borel Equivalence Relations by Alexander S Kechris

The theory of definable equivalence relations has been a vibrant area of research in descriptive set theory for the past three decades. It serves as a foundation of a theory of complexity of classification problems in mathematics and is further motivated by the study of group actions in a descriptive, topological, or measure-theoretic context. A key part of this theory is concerned with the structure of countable Borel equivalence relations. These are exactly the equivalence relations generated by Borel actions of countable discrete groups and this introduces important connections with group theory, dynamical systems, and operator algebras. This text surveys the state of the art in the theory of countable Borel equivalence relations and delineates its future directions and challenges. It gives beginning graduate students and researchers a bird's-eye view of the subject, with detailed references to the extensive literature provided for further study.

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.

SKU	Nicht verfügbar
ISBN 13	9781009562294
ISBN 10	1009562290
Titel	The Theory of Countable Borel Equivalence Relations
Autor	Alexander S Kechris
Serie	Cambridge Tracts In Mathematics
Buchzustand	Nicht verfügbar
Verlag	Cambridge University Press
Erscheinungsjahr	2024-11-21
Seitenanzahl	174
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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