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 | Abstract: | 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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