Banach-Tarski Decompositions Using Sets with the Property of Baire

DOI10.2307/2152721zbMath0795.28003OpenAlexW4241947571MaRDI QIDQ4276534

Matthew Foreman, Randall Dougherty

Publication date: 29 August 1994

Full work available at URL: https://doi.org/10.2307/2152721

zbMATH Keywords

Baire propertyPolish spacesgroups of homeomorphismsBanach-Tarski paradoxical decompositions

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Special maps on metric spaces (54E40) Euclidean geometries (general) and generalizations (51M05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (10)

Baire measurable paradoxical decompositions via matchings ⋮ Visualizing paradoxical sets ⋮ Unnamed Item ⋮ Injective positively ordered monoids. I ⋮ Injective positively ordered monoids. II ⋮ MEASURABLE REALIZATIONS OF ABSTRACT SYSTEMS OF CONGRUENCES ⋮ Infinite combinatorics and the foundations of regular variation ⋮ Measurable equidecompositions for group actions with an expansion property ⋮ Free isometric actions on the affine space \(\mathbb{Q}^n\). ⋮ Links between physics and set theory.

Cites Work

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• Descriptive set theory
• SOLUTIONS TO CONGRUENCES USING SETS WITH THE PROPERTY OF BAIRE
• The Banach-Tarski paradox for the hyperbolic plane

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