Borel equivalence relations and cardinal algebras

DOI10.4064/fm242-4-2016zbMath1367.03081OpenAlexW2423008636MaRDI QIDQ3187238

Henry L. MacDonald, Alexander S. Kechris

Publication date: 2 September 2016

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:20161130-102008360

zbMATH Keywords

Borel reducibilitycardinal algebracountable Borel equivalence relation

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (4)

Lifts of Borel actions on quotient spaces ⋮ $\sigma $-lacunary actions of Polish groups ⋮ Equidecomposition in cardinal algebras ⋮ Decompositions and measures on countable Borel equivalence relations

Cites Work

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• Selection theorems and treeability
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• Countable sections for locally compact group actions
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• The Structure of Hyperfinite Borel Equivalence Relations
• Linear algebraic groups and countable Borel equivalence relations
• COUNTABLE BOREL EQUIVALENCE RELATIONS
• Weak Cardinal Algebras
• Rigidity theorems for actions of product groups and countable Borel equivalence relations
• Bi-Borel reducibility of essentially countable Borel equivalence relations
• The axiom of choice

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