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A generalisation of the Erdős-Szekeres theorem to disjoint convex sets

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Publication:1387855
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DOI10.1007/PL00009361zbMath0903.52004MaRDI QIDQ1387855

Géza Tóth, János Pach

Publication date: 15 December 1998

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)


zbMATH Keywords

disjoint convex setsErdős-Szekeres convex \(n\)-gon theorem


Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Convex sets in (2) dimensions (including convex curves) (52A10) Designs and configurations (05B99)


Related Items (9)

On the positive fraction Erdős-Szekeres theorem for convex sets ⋮ Erdős-Szekeres ``happy end-type theorems for separoïds ⋮ Order types of convex bodies ⋮ Two extensions of the Erdős-Szekeres problem ⋮ On order types of systems of segments in the plane ⋮ Regular systems of paths and families of convex sets in convex position ⋮ More on an Erdős-Szekeres-type problem for interior points ⋮ The Erdos-Szekeres problem on points in convex position – a survey ⋮ THE ERDŐS–SZEKERES PROBLEM FOR NON‐CROSSING CONVEX SETS




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