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Equipartition of sphere measures by hyperplanes
- Source :
- Filomat. 20:1-11
- Publication Year :
- 2006
- Publisher :
- National Library of Serbia, 2006.
-
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.
Details
- ISSN :
- 03545180
- Volume :
- 20
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........a3c4c8ba3daff513e5f0aca1d64e7d7f