𝔖 Bobbio Scriptorium
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On classes of convex sets that permit plane coverings

✍ Scribed by G. D. Chakerian; H. Groemer


Book ID
112884493
Publisher
The Hebrew University Magnes Press
Year
1974
Tongue
English
Weight
265 KB
Volume
19
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


On Separation of Plane Convex Sets
✍ Eduardo Rivera-Campo; JenΓΆ TΓΆrΓΆcsik πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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 \(F\).