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Convex hulls of integral points. (English) Zbl 1025.52006
Let \(C\) be a polyhedron in \(\mathbb R^d\). If \(C\) is not compact, then the convex hull of \(C\cap{\mathbb Z}^d\) is not necessarily a polyhedron or even a closed set. In the paper the notion of \(A\)-polyhedron is introduced and it is proved that if \(C\) is an \(A\)-polyhedron, then the convex hull of \(C\cap{\mathbb Z}^d\) is a generalized polyhedron (i.e. its intersection with any compact polyhedron is a polyhedron as well).
Reviewer: E.S.Golod (Moskva)

MSC:
52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
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