TREEABLE EQUIVALENCE RELATIONS

DOI10.1142/S0219061312500031zbMath1278.03081MaRDI QIDQ2909620

Greg Hjorth

Publication date: 6 September 2012

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

free groupBorel equivalence relationBorel reducibilityorbit equivalence relationergodic equivalence relationcountable equivalence relationtreeable equivalence relation

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items

Equilibria Existence in Bayesian Games: Climbing the Countable Borel Equivalence Relation Hierarchy, Rotation equivalence and cocycle superrigidity, Incomparable actions of free groups, Borel structurability by locally finite simplicial complexes, Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap, Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\)

Cites Work

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• Non-treeability for product group actions
• Indecomposability of treed equivalence relations
• Superrigidity and countable Borel equivalence relations
• COUNTABLE BOREL EQUIVALENCE RELATIONS
• A converse to Dye’s theorem
• Amenable actions and almost invariant sets