Authors: Blagojević, Pavle 
Dimitrijević-Blagojević, Aleksandra 
Milošević, Marko
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Equipartition of sphere measures by hyperplanes
Journal: Filomat
Volume: 20
Issue: 1
First page: 1
Last page: 11
Issue Date: 2006
Rank: M51
ISSN: 2406-0933
DOI: 10.2298/FIL0601001B
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.
Project: Advanced methods for cryptology and information processing 

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