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Covering a convex body by smaller homothetic copies

✍ Scribed by Valeriu Soltan; Éva Vásárhelyi

Publisher
Springer
Year
1993
Tongue
English
Weight
481 KB
Volume
45
Category
Article
ISSN
0046-5755

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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