|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 (, , , ) 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  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|
Show full item record
checked on Dec 7, 2023
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.