Curves in \(\mathbb R^d\) intersecting every hyperplane at most \(d+1\) times

DOI10.4171/JEMS/645zbMath1351.05219arXiv1309.1147OpenAlexW2531181900MaRDI QIDQ343098

Attila Pór, Imre Bárány, Ji{ří} Matoušek

Publication date: 25 November 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1147

zbMATH Keywords

Chebyshev systemconvex curveorder typemoment curveRamsey function

Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Ramsey theory (05D10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Ramsey numbers and monotone colorings ⋮ Helly-type problems

Cites Work

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• Higher-order Erdős-Szekeres theorems
• PROJECTIVE CONVEXITY IN ℙ³ IMPLIES GRASSMANN CONVEXITY
• Ramsey-type results for semi-algebraic relations
• A NOTE ON ORDER‐TYPE HOMOGENEOUS POINT SETS
• Chebyshev systems and zeros of a function on a convex curve
• Lower bounds on geometric Ramsey functions
• ON TWO CONJECTURES CONCERNING CONVEX CURVES

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