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The Theory of Countable Borel Equivalence Relations: 234 (Cambridge Tracts in Mathematics, Series Number 234)

SKU: 9781009562294

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A comprehensive mathematical treatise on countable Borel equivalence relations by renowned logician Alexander S. Kechris. This advanced text explores the theoretical foundations and applications of these fundamental structures in descriptive set theory.

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Description

The Theory of Countable Borel Equivalence Relations is a definitive work in modern mathematics, presenting a thorough treatment of countable Borel equivalence relations and their role in descriptive set theory. Written by Alexander S. Kechris, a leading expert in mathematical logic and set theory, this volume provides comprehensive coverage of both classical results and cutting-edge developments in the field.

The book explores the structure and classification of countable Borel equivalence relations, their connections to measurable group actions, and applications to various areas of mathematics. It addresses fundamental questions about orbit equivalence, invariant measures, and the complexity of equivalence relations from both descriptive and ergodic-theoretic perspectives.

Ideal for graduate students and researchers in mathematical logic, descriptive set theory, and related disciplines, this text serves as both a research monograph and an advanced textbook. Part of the prestigious Cambridge Tracts in Mathematics series, it represents the current state of knowledge in this important mathematical domain.

Additional information

Author

Alexander S. Kechris

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009562294

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