Decompositions and measures on countable Borel equivalence relations

DOI10.1017/etds.2020.119OpenAlexW2783157730WikidataQ114119336 ScholiaQ114119336MaRDI QIDQ5165499

Ruiyuan Chen

Publication date: 17 November 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02767

zbMATH Keywords

ergodic decompositioncountable Borel equivalence relationscardinal algebras

Mathematics Subject Classification ID

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

Related Items (3)

Lifts of Borel actions on quotient spaces ⋮ Structural, point-free, non-Hausdorff topological realization of Borel groupoid actions ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022

Cites Work

• On the existence of a finite invariant measure
• Topics in orbit equivalence
• Quasi-Polish spaces
• A Selector for Equivalence Relations with G δ Orbits
• Borel equivalence relations and cardinal algebras
• The Structure of Hyperfinite Borel Equivalence Relations
• Continuous Lattices and Domains
• Weak containment of measure-preserving group actions
• Cardinal Algebras and Measures Invariant under Equivalence Relations
• Spatiality of countably presentable locales (proved with the Baire category theorem)
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