𝔖 Bobbio Scriptorium
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Barrier cones and intersections of translates of convex sets

✍ Scribed by Arne Brøndsted


Book ID
112499843
Publisher
Springer
Year
1978
Tongue
English
Weight
257 KB
Volume
30
Category
Article
ISSN
0003-889X

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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 (

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✍ Marilyn Breen 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 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