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A boundedness condition for sets with lattice point constraints

Published online by Cambridge University Press:  17 April 2009

P.R. Scott
P.R. Scott
Affiliation:
Department of Pure Mathematics, University of Adelaide, GPO Box 498, Adelaide, South Australia 5001, Australia.
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Abstract

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Let K be a closed convex body in Rn containing a finite number of points of lattice Λ in its interior. We show that K is bounded if K contains a certain suitably large simplex.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1983 , pp. 5 - 8
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Arkinstall, John Robert, “Generalisations of Minkowski's theorem in the plane” (PhD thesis, University of Adelaide, Adelaide, 1982).Google Scholar