Geodesic
On Rational Subdivisions of Polyhedra with Rational Vertices
Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 238-242

Voir la notice de l'article provenant de la source Cambridge University Press

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 R n, 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. 
Beynon, W. M. On Rational Subdivisions of Polyhedra with Rational Vertices. Canadian journal of mathematics, Tome 29 (1977) no. 2, pp. 238-242. doi: 10.4153/CJM-1977-025-7
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[1] 1. Beynon, W. M., Applications of duality in the theory of finitely generated lattice-ordered Abelian groups (to appear). Google Scholar

[2] 2. Glaser, L. C., Geometrical combinatorial topology, Vol. 1, Van Nostrand Reinhold Mathematical Studies 27. Google Scholar

[3] 3. Stallings, J. R., Lectures on polyhedral topology, Tata Institute of Fundamental Research, Bombay (1968). Google Scholar

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