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 \(F\).
β¦ LIBER β¦
Separability of convex sets and the concept of convexity on the surface of a convex body
β Scribed by A. G. Netrebin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1980
- Tongue
- English
- Weight
- 508 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
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