Axiom of choice and chromatic number: Examples on the plane

DOI10.1016/j.jcta.2004.01.001zbMath1057.03036OpenAlexW2114738786WikidataQ114013975 ScholiaQ114013975MaRDI QIDQ598462

Alexander Soifer, Saharon Shelah

Publication date: 6 August 2004

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.2004.01.001

zbMATH Keywords

chromatic numberaxiom of choiceinfinite graphs

Mathematics Subject Classification ID

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

Related Items (6)

On configurations of solid balls in 3-space: chromatic numbers and knotted cycles ⋮ Coloring distance graphs on the plane ⋮ On a generalization of the Hadwiger-Nelson problem ⋮ Axiom of choice and chromatic number of \(R^n\) ⋮ ORTHOGONAL COLORINGS OF THE SPHERE ⋮ On Rado's boundedness conjecture

Cites Work

• Unsolved problems in geometry
• Axiom of choice and chromatic number of the plane
• A model of set-theory in which every set of reals is Lebesgue measurable
• A system of axiomatic set theory. Part III. Infinity and enumerability. Analysis
• The axiom of choice
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