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Illuminating high-dimensional convex sets

✍ Scribed by Jurek Czyzowicz; Bruno Gaujal; Eduardo Rivera-Campo; Jorge Urrutia; Joseph Zaks

Publisher
Springer
Year
1995
Tongue
English
Weight
350 KB
Volume
56
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

Illumination by translates of convex set
Illumination by translates of convex sets
✍ Marilyn Breen πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 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 (

k-Dimensional intersections of convex se
k-Dimensional intersections of convex sets and convex kernels
✍ Marilyn Breen πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 328 KB

This paper will investigate the dimension of the kernel of a compact starshaped set, and the following result will be obtained: Let S be a compact set in some linear topological space L. Then for a k with 1 G k G 11, dim ker S 2 k if and only if for some E > 0 and some n-dimensional flat F in L, ev