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Some geometric properties of convex bodies. II
Author(s):
V.
V.
Makeev
Translated by:
N. Yu. Netsvetaev
Original publication:
Algebra i Analiz,
tom 15
(2003),
vypusk 6.
Journal:
St. Petersburg Math. J.
15
(2004),
867-874.
MSC (2000):
Primary 52A10, 52A15
Posted:
November 16, 2004
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Abstract:
Topological means are used for the study of approximation of  -dimensional sections of a  -dimensional convex body by affine-regular pentagons and approximation of a centrally symmetric convex body by a prism. Also, the problem of estimating the relative surface area of the sphere in a normed  -space, the problem on universal covers for sets of unit diameter in Euclidean space, and some related questions are considered.
References:
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- 2.
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Additional Information:
V.
V.
Makeev
Affiliation:
Universitetskii Pr. 27, St. Petersburg 190000, Russia
DOI:
10.1090/S1061-0022-04-00836-2
PII:
S 1061-0022(04)00836-2
Keywords:
Convex body,
figure,
field of convex bodies,
relative surface area
Received by editor(s):
25/DEC/2002
Posted:
November 16, 2004
Additional Notes:
The paper was revised by the author for the English edition.
Copyright of article:
Copyright
2004,
American Mathematical Society
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