Weyl-Minkowski theorem
Theorem (Weyl–Minkowski).
A subset of Euclidean space is a convex polytope if and only if it is a bounded polyhedron.
References
- 1 Minkowski, H. Allgemeine Lehrsätze über die konvexe Polyeder, Nachr. Ges. Wiss., Göttingen, 1897, 198–219.
- 2 Weyl, H. Elementare Theorie der konvexen Polyeder, Comment. Math. Helvetici, 1935, 7
- 3 Ziegler, G., Lectures on polytopes, Springer-Verlag, 1997.
Title | Weyl-Minkowski theorem |
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Canonical name | WeylMinkowskiTheorem |
Date of creation | 2013-03-22 16:59:07 |
Last modified on | 2013-03-22 16:59:07 |
Owner | mps (409) |
Last modified by | mps (409) |
Numerical id | 6 |
Author | mps (409) |
Entry type | Theorem |
Classification | msc 52B40 |
Synonym | Weyl–Minkowski theorem |