Geometric permutations and common transversals |
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Authors: | M Katchalski T Lewis A Liu |
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Institution: | (1) Faculty of Mathematics, Technion, Haifa, Israel;(2) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada |
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Abstract: | The object of this paper is to study how many essentially different common transversals a family of convex sets on the plane can have. In particular, we consider the case where the family consists of pairwise disjoint translates of a single convex set. |
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