Equipartition of sphere measures by hyperplanes | Zendy

Pavle V. M. Blagojević | Zendy; Aleksandra Dimitrijevic-Blagojevic | Zendy; Marko Milošević | Zendy

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Equipartition of sphere measures by hyperplanes

Author(s) -

Pavle V. M. Blagojević,

Aleksandra Dimitrijevic-Blagojevic,

Marko Milošević

Publication year - 2006

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil0601001b

Subject(s) - equipartition theorem , mathematics , measure (data warehouse) , equivariant map , hyperplane , partition (number theory) , algebraic number , algebraic topology , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , quantum mechanics , computer science , physics , database , homotopy , magnetic field

C23 Abstract. Measure partition problems are classical problems of geo- metric combinatorics ((1), (2), (3), (4)) whose solutions often use tools from the equivariant algebraic topology. The potential of the computa- tional 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.

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