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A functional analytic interpretation of the number of faces of a polyhedron
Published online by Cambridge University Press: 26 February 2010
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Let P⊂ℝ2 be a polyhedron, that is, the intersection of a finite number of closed half-spaces, and suppose that its characteristic function lP can be expressed as a linear combination
where each Ai is a relatively open and convex set. Let n(P) be the number of all non-empty facets of P. One of the main objectives of this paper is to show that
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- Copyright © University College London 2000