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Countable borel equivalence relations
Journal of Mathematical Logic 2 (01):1-80 (2002)
Abstract
This paper develops the foundations of the descriptive set theory of countable Borel equivalence relations on Polish spaces with particular emphasis on the study of hyperfinite, amenable, treeable and universal equivalence relations.Links
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Citations of this work
The effective theory of Borel equivalence relations.Ekaterina B. Fokina, Sy-David Friedman & Asger Törnquist - 2010 - Annals of Pure and Applied Logic 161 (7):837-850.
New jump operators on equivalence relations.John D. Clemens & Samuel Coskey - 2022 - Journal of Mathematical Logic 22 (3).
Superrigidity and countable Borel equivalence relations.Simon Thomas - 2003 - Annals of Pure and Applied Logic 120 (1-3):237-262.
Borel equivalence relations and Lascar strong types.Krzysztof Krupiński, Anand Pillay & Sławomir Solecki - 2013 - Journal of Mathematical Logic 13 (2):1350008.
References found in this work
Borel equivalence relations and classifications of countable models.Greg Hjorth & Alexander S. Kechris - 1996 - Annals of Pure and Applied Logic 82 (3):221-272.
Borel equivalence relations induced by actions of the symmetric group.Greg Hjorth, Alexander S. Kechris & Alain Louveau - 1998 - Annals of Pure and Applied Logic 92 (1):63-112.
New directions in descriptive set theory.Alexander S. Kechris - 1999 - Bulletin of Symbolic Logic 5 (2):161-174.
Amenable equivalence relations and Turing degrees.Alexander S. Kechris - 1991 - Journal of Symbolic Logic 56 (1):182-194.
On the complexity of the classification problem for torsion-free Abelian groups of finite rank.Simon Thomas - 2001 - Bulletin of Symbolic Logic 7 (3):329-344.
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