Regular systems of paths and families of convex sets in convex position

DOI10.1090/tran/6437zbMath1331.05218arXiv1307.0909OpenAlexW1499686035MaRDI QIDQ2790591

Michael Gene Dobbins, Alfredo Hubard, Andreas F. Holmsen

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0909

zbMATH Keywords

crossing patterns of systems of graphs of continuous functions

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Convex sets in (2) dimensions (including convex curves) (52A10) Ramsey theory (05D10) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items

Realization spaces of arrangements of convex bodies ⋮ Representation of convex geometries by circles on the plane

Cites Work

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• Order types of convex bodies
• Topologically sweeping an arrangement
• Proof of a conjecture of Burr, Grünbaum, and Sloane
• A generalisation of the Erdős-Szekeres theorem to disjoint convex sets
• Erdős-Szekeres-type theorems for segments and noncrossing convex sets
• Convexly independent sets
• THE ERDŐS–SZEKERES PROBLEM FOR NON‐CROSSING CONVEX SETS
• Erdős-Szekeres-type theorems for monotone paths and convex bodies
• Computer solution to the 17-point Erdős-Szekeres problem
• A generalization of the Erdös-Szekeres convex n-gon theorem.
• The Erdos-Szekeres problem on points in convex position – a survey
• Oriented Matroids
• Finding convex sets in convex positions

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