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Illumination by translates of convex sets

✍ Scribed by Marilyn Breen

Publisher: Springer
Year: 1992
Tongue: English
Weight: 379 KB
Volume: 42
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147550

No coin nor oath required. For personal study only.

✦ Synopsis

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 (1980). Primary 52.A35, 52.A30.

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