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 |
|---|---|
| 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 |