Georgian Mathematical Journal 13 (2006), No. 1, 101--108
Copyright Heldermann Verlag 2006
On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
Alexander Kharazishvili
A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1 Aleksidze St., Tbilisi 0193, Georgia
and: I. Vekua Institute of Applied Mathematics, State University, 2 University St., Tbilisi 0143, Georgia
kharaz2@yahoo.com
Several combinatorial questions and facts connected with certain types of mutual positions of finitely many hyperplanes in a finite-dimensional affine space are considered. An application of one of such facts to a multi-dimensional version of the well-known Sylvester theorem is presented.
Keywords: Affine space, hyperplane, admissible set, admissible simplex, Sylvester theorem.
MSC: 52A10, 52C10, 52C35
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