A generalization of Sierpiński's paradoxical decompositions: Coloring semialgebraic grids

DOI10.2178/jsl.7704060zbMath1270.03081OpenAlexW2058777475MaRDI QIDQ4899166

James H. Schmerl

Publication date: 7 January 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jsl/1350315581

zbMATH Keywords

continuum hypothesisparadoxical decompositionsstructureacceptable coloringsemialgebraic \(n\)-grid

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (3)

Coloring grids ⋮ ACCEPTABLE COLORINGS OF INDEXED HYPERSPACES ⋮ Semialgebraic graphs having countable list-chromatic numbers

Cites Work

• Another characterization of alephs: Decompositions of hyperspace
• Sur une propriété paradoxale de l'espace à trois dimensions équivalente à l'hypothèse du continu
• Covering the plane with sprays
• Decompositions of the plane and the size of the continuum
• How many clouds cover the plane?
• Countable partitions of Euclidean space
• Avoidable algebraic subsets of Euclidean space
• A Proposition of Elementary Plane Geometry that Implies the Continuum Hypothesis
• Three clouds may cover the plane

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