Transversals for families of translates of a two-dimensional convex compact set (Q1580754)
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scientific article; zbMATH DE number 1507679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transversals for families of translates of a two-dimensional convex compact set |
scientific article; zbMATH DE number 1507679 |
Statements
Transversals for families of translates of a two-dimensional convex compact set (English)
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6 May 2001
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A long time ago Grünbaum asked: If every two elements of a family \({\mathcal F}\) of translates of a convex compact set in the plane have a common point, do there exist 3 points such that every element of \({\mathcal F}\) contains at least one of these points? Karasev answers this affirmatively. Further illuminating results make this an interesting and useful paper.
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transversal
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translates
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