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	Unavailable
ISBN 13	9781009562294
ISBN 10	1009562290
Title	The Theory of Countable Borel Equivalence Relations
Author	Alexander S Kechris
Series	Cambridge Tracts In Mathematics
Condition	Unavailable
Publisher	Cambridge University Press
Year published	2024-11-21
Number of pages	174
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable