EQUIPARTITION OF SPHERE MEASURES BY HYPERPLANES

Measure partition problems are classical problems of geometric combinatorics ([1], [2], [3], [4]) whose solutions often use tools from the equivariant algebraic topology. The potential of the computational obstruction theory approach is partially demonstrated here. In this paper we reprove a result...

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Bibliographic Details
Published in:Filomat 2006-01, Vol.20 (1), p.1-11
Main Authors: Blagojevic, Pavle, Dimitrijevic-Blagojevic, Aleksandra, Milosevic, Marko
Format: Article
Language:English
Subjects:
Coefficients
Geometric planes
Hyperplanes
Tangent vectors
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Summary:Measure partition problems are classical problems of geometric combinatorics ([1], [2], [3], [4]) whose solutions often use tools from the equivariant algebraic topology. The potential of the computational obstruction theory approach is partially demonstrated here. In this paper we reprove a result of V.V. Makeev [9] about a 6-equipartition of a measure on S2 by three planes. The advantage of our approach is that it can be applied on other more complicated questions of the similar nature.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL0601001B