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On Rational Subdivisions of Polyhedra with Rational Vertices
Published online by Cambridge University Press: 20 November 2018
Abstract
This short paper is devoted to the proof of a single theorem, which, in its simplest form, asserts that if Q is a polyhedron in Rn which can be expressed as the union of finitely many convex polytopes whose vertices are at rational points in Rn, and if is a simplicial subdivision of Q﹜ then there is an isomorphic simplicial subdivision ” of Q in which all vertices are at rational points.
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- Copyright © Canadian Mathematical Society 1977
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