Martin's conjecture and strong ergodicity

DOI10.1007/s00153-009-0148-0zbMath1188.03032OpenAlexW1969482738WikidataQ123026772 ScholiaQ123026772MaRDI QIDQ1042438

Simon Thomas

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1007/s00153-009-0148-0

zbMATH Keywords

Turing reducibilityBorel equivalence relationBorel boundednessBorel homomorphismMartin's Conjectureweakly universal countable Borel equivalence relation

Mathematics Subject Classification ID

Descriptive set theory (03E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Other Turing degree structures (03D28)

Related Items (11)

Equivalence of generics ⋮ Borel structurability on the 2-shift of a countable group ⋮ FORCING CONSTRUCTIONS AND COUNTABLE BOREL EQUIVALENCE RELATIONS ⋮ Cardinal characteristics and countable Borel equivalence relations ⋮ Universal Borel actions of countable groups ⋮ Uniform Martin’s conjecture, locally ⋮ Isomorphism of finitely generated solvable groups is weakly universal. ⋮ Hyperfiniteness and Borel combinatorics ⋮ Continuous versus Borel reductions ⋮ Relative primeness and Borel partition properties for equivalence relations ⋮ Uniformity, universality, and computability theory

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• The axiom of determinateness and reduction principles in the analytical hierarchy
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• Rigidity theorems for actions of product groups and countable Borel equivalence relations

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