The Use of Shears to Construct Paradoxes in R 2

DOI10.2307/2043845zbMath0495.28015OpenAlexW4244270896MaRDI QIDQ3958705

Stanley Wagon

Publication date: 1982

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043845

zbMATH Keywords

shearBanach-Tarski type paradoxcharacterizing Lebesgue measure as a finitely additive measuregroup of all affine, area-preserving transformations of the plane

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Euclidean geometries (general) and generalizations (51M05) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (4)

Banach-Tarski paradox in some complete manifolds ⋮ A Note on Invariant Finitely Additive Measures ⋮ Measurable equidecompositions for group actions with an expansion property ⋮ A new graph invariant arises in toric topology

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