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On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
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Alexander Kharazishvili
Published/Copyright:
March 10, 2010
Abstract
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.
Key words and phrases:: Affine space; hyperplane; admissible set; admissible simplex; Sylvester theorem
Received: 2005-06-20
Published Online: 2010-03-10
Published in Print: 2006-March
© Heldermann Verlag
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Keywords for this article
Affine space;
hyperplane;
admissible set;
admissible simplex;
Sylvester theorem
Articles in the same Issue
- A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak
- Holomorphic Vector Bundles on Holomorphically Convex Complex Manifolds
- Controllability of Sobolev Type Semilinear Functional Differential and Integrodifferential Inclusions with an Unbounded Delay
- Fixed Point Techniques and Stability for Neutral Nonlinear Differential Equations with Unbounded Delays
- Solution of a Nonclassical Problem of Oscillation of Two-Component Mixtures
- On the Fourier Expansions of Eisenstein Series of Some Types
- On the Full Transitivity of a Cotorsion Hull
- On Generating Relations Involving Generalized Gegenbauer Polynomials
- On Some Mutual Positions of Hyperplanes in a Finite-Dimensional Affine Space
- The Maximal Operator in Variable Spaces 𝐿 𝑝(·)(Ω, ρ) with Oscillating Weights
- A Rational Model for the Evaluation Map
- The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
- A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
- A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory
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