Baire measurable paradoxical decompositions via matchings

DOI10.1016/j.aim.2015.11.034zbMath1335.54035arXiv1501.01690OpenAlexW1936911642MaRDI QIDQ904022

Spencer Unger, Andrew S. Marks

Publication date: 15 January 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01690

zbMATH Keywords

perfect matchingamenableBaire propertyBanach-Tarski paradoxparadoxical decompositionequidecomposability

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items

Measurable Hall's theorem for actions of abelian groups ⋮ Computable paradoxical decompositions ⋮ About von Neumann's problem for locally compact groups ⋮ On Følner sets in topological groups ⋮ MEASURABLE PERFECT MATCHINGS FOR ACYCLIC LOCALLY COUNTABLE BOREL GRAPHS ⋮ MEASURABLE REALIZATIONS OF ABSTRACT SYSTEMS OF CONGRUENCES ⋮ Hyperfiniteness and Borel combinatorics ⋮ Measurable equidecompositions for group actions with an expansion property ⋮ On Baire measurable colorings of group actions

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