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Covering a Plane Convex Body by Its Negative Homothets

✍ Scribed by Zsolt Lángi

Publisher
Springer
Year
2009
Tongue
English
Weight
491 KB
Volume
92
Category
Article
ISSN
0047-2468

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Covering a plane convex body by four hom
Covering a plane convex body by four homothetical copies with the smallest positive ratio
✍ Marek Lassak 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 498 KB

The famous conjecture of Hadwiger [5] that any convex body (i.e. a compact convex set with non-empty interior) of Euclidean n-space E" can be covered by 2" smaller positive homothetical copies remains unsolved for n > 2. For n = 2 the answer is affirmative as was proved in [8] by Levi. A natural que