Order types of convex bodies

DOI10.1007/s11083-010-9156-2zbMath1235.52004arXiv1010.4613OpenAlexW2068685569MaRDI QIDQ633225

Alfredo Hubard, Emiliano Mora, Andrew Suk, Luis Montejano

Publication date: 31 March 2011

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4613

zbMATH Keywords

convex positionoriented matroidconvex bodiesovalsorder typegeometric Ramsey theorygeometric transversalErdős Szekeresindependent convex sets

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Convex sets in (2) dimensions (including convex curves) (52A10) Oriented matroids in discrete geometry (52C40)

Related Items (8)

On the Erdős-Szekeres convex polygon problem ⋮ A NOTE ON ORDER‐TYPE HOMOGENEOUS POINT SETS ⋮ Realization spaces of arrangements of convex bodies ⋮ Helly-type theorems for the ordering of the vertices of a hypergraph ⋮ Two extensions of the Erdős-Szekeres problem ⋮ Regular systems of paths and families of convex sets in convex position ⋮ Subquadratic Encodings for Point Configurations ⋮ THE ERDŐS–SZEKERES PROBLEM FOR NON‐CROSSING CONVEX SETS

Cites Work

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• A Gallai-type transversal problem in the plane
• A generalisation of the Erdős-Szekeres theorem to disjoint convex sets
• Note on the Erdős-Szekeres theorem
• Erdős-Szekeres-type theorems for segments and noncrossing convex sets
• On order types of systems of segments in the plane
• A generalization of the Erdös-Szekeres convex n-gon theorem.

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