Axiom of choice and chromatic number of \(R^n\)

DOI10.1016/j.jcta.2004.10.004zbMath1063.03035OpenAlexW1984210806WikidataQ114013973 ScholiaQ114013973MaRDI QIDQ1775552

Alexander Soifer

Publication date: 4 May 2005

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.10.004

zbMATH Keywords

Euclidean spacecombinatorial geometrychromatic numberdiscrete geometryaxiom of choice

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Axiom of choice and related propositions (03E25)

Related Items (2)

On configurations of solid balls in 3-space: chromatic numbers and knotted cycles ⋮ Coloring distance graphs on the plane

Cites Work

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• Axiom of choice and chromatic number: Examples on the plane
• Unsolved problems in geometry
• Axiom of choice and chromatic number of the plane
• A 15-colouring of 3-space omitting distance one
• On the space chromatic number
• A model of set-theory in which every set of reals is Lebesgue measurable
• The Mathematical Coloring Book

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