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On the minimal positive homothetic image of a simplex containing a convex body

โœ Scribed by M. V. Nevskii


Book ID
120748065
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
558 KB
Volume
93
Category
Article
ISSN
0001-4346

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Covering a plane convex body by four hom
โœ Marek Lassak ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer ๐ŸŒ English โš– 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