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On the discrepancy of convex plane sets

✍ Scribed by József Beck


Publisher
Springer Vienna
Year
1988
Tongue
English
Weight
521 KB
Volume
105
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


On Separation of Plane Convex Sets
✍ Eduardo Rivera-Campo; Jenö Töröcsik 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 77 KB

We show that in any family \(F\) of \(n \geqslant 5\) convex sets in the plane with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n+28) / 30\) sets in \(F\).

Separating convex sets in the plane
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