A short proof that \(N^ 3\) is not a circle containment order

DOI10.1007/BF00354890zbMath0664.06002OpenAlexW2011277895MaRDI QIDQ1115459

Glenn H. Hurlbert

Publication date: 1988

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00354890

zbMATH Keywords

circle containment orderinfinite three-dimensional poset \(N^ 3\)

Mathematics Subject Classification ID

Partial orders, general (06A06)

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Sphere orders ⋮ \([2\times{}[3]\times{} N\) is not a circle order] ⋮ The many faces of circle orders ⋮ Lexicographic Ramsey theory ⋮ On sphere orders ⋮ Sphere orderings representation of space-time ⋮ Finite three-dimensional partial orders which are not sphere orders ⋮ Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times ⋮ A note on sphere containment orders