A NOTE ON ORDER‐TYPE HOMOGENEOUS POINT SETS

DOI10.1112/S0025579313000247zbMath1301.05353arXiv1305.5934OpenAlexW3098166863MaRDI QIDQ3191153

Andrew Suk

Publication date: 24 September 2014

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5934

zbMATH Keywords

hypergraphErdős-Szekeres theoremRamsey theorydivided differenceorder type\(k\)th-order monotone subset

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Generalized Ramsey theory (05C55) Ramsey theory (05D10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

On the Erdős-Szekeres convex polygon problem ⋮ Curves in \(\mathbb R^d\) intersecting every hyperplane at most \(d+1\) times ⋮ A note on the Tolerant Tverberg Theorem ⋮ Semi-algebraic Ramsey numbers ⋮ One-Sided Epsilon-Approximants ⋮ An optimal generalization of the colorful Carathéodory theorem ⋮ Ramsey numbers and monotone colorings ⋮ On three measures of non-convexity ⋮ Connectivity of triangulation flip graphs in the plane ⋮ Helly-type problems ⋮ Three-monotone interpolation

Cites Work

• Order types of convex bodies
• Cyclic polytopes and oriented matroids
• Higher-order Erdős-Szekeres theorems
• Convex Polytopes
• Partition relations for cardinal numbers
• The maximum numbers of faces of a convex polytope
• Some remarks on the theory of graphs
• Combinatorial Theorems on Classifications of Subsets of a Given Set

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