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Simplicial faces and sections of a convex polytope

Published online by Cambridge University Press:  26 February 2010

Daniel A. Marcus
Daniel A. Marcus
Affiliation:
California State Polytechnic University, Pomona, California, U.S.A.
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Abstract

For a convex polytope P, let s(P) and σ(P) denote, respectively, the largest t such that P has a t-dimensional face (section) which is a simplex. Using Gale diagrams, lower bounds are obtained for these numbers and formulae are developed for the behaviour of s and σ over Cartesian and other products.

Type
Research Article
Information
Mathematika , Volume 29 , Issue 1 , June 1982 , pp. 119 - 127
Copyright
Copyright © University College London 1982

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