𝔖 Bobbio Scriptorium
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Common Priors and Separation of Convex Sets

✍ Scribed by Dov Samet


Book ID
115611063
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
93 KB
Volume
24
Category
Article
ISSN
0899-8256

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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 \(F\).

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