Hostname: page-component-6bf8c574d5-qdpjg Total loading time: 0 Render date: 2025-02-19T11:10:54.383Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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