A continuous version of the Hausdorff-Banach-Tarski paradox

DOI10.1007/s10469-010-9080-yzbMath1195.03044OpenAlexW2080551138WikidataQ56003631 ScholiaQ56003631MaRDI QIDQ1957353

V. A. Churkin

Publication date: 25 September 2010

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-010-9080-y

zbMATH Keywords

Hausdorff-Banach-Tarski paradoxcontinuous decompositionsfree subgroups of rotation group of Euclidean space

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Other combinatorial set theory (03E05) Axiom of choice and related propositions (03E25) Classical topics in algebraic topology (55M99)

Related Items

Classical probability and quantum outcomes

Cites Work

• Unnamed Item
• On the paradox of the sphere
• Decompositions of a sphere
• On the decomposition of spheres
• Sur le paradoxe de la sphère

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