𝔖 Bobbio Scriptorium
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More about intersections of translates of convex sets

✍ Scribed by Arne Brøndsted

Book ID
112500057
Publisher
Springer
Year
1978
Tongue
English
Weight
208 KB
Volume
31
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

Illumination by translates of convex set
Illumination by translates of convex sets
✍ Marilyn Breen 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 379 KB

Let S be a compact set in the plane. If every three points of S are illuminated dearly by some translate of the compact convex set T, then there is a translate of T which illumines every point of S. Various analogues hold for translates of fiats in R d as well. Mathematics subject classifications (

Geometric permutations of disjoint trans
Geometric permutations of disjoint translates of convex sets
✍ M. Katchalski; T. Lewis; A. Liu 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 565 KB

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.