The Banach-Tarski Theorem on Polygons, and the Cancellation Law

DOI10.2307/2048142zbMath0707.52001OpenAlexW4240441914MaRDI QIDQ3488808

Miklós Laczkovich, Richard J. Gardner

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048142

zbMATH Keywords

polygonconvex bodyequidecomposablecancellation lawBanach-Tarski theoremconvex equidissectible

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (1)

Invariant Signed Measures and the Cancellation Law

Cites Work

• Unnamed Item
• Matching theory
• Invariant Signed Measures and the Cancellation Law
• A Problem of Sallee on Equidecomposable Convex Bodies
• Convex bodies equidecomposable by locally discrete groups of isometries
• Closed Sets Without Measurable Matching
• Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
• The Failure of Cancellation Laws for Equidecomposability Types

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