Weyl-Minkowski theorem

Theorem (Weyl–Minkowski).

A subset of Euclidean space is a convex polytope if and only if it is a bounded polyhedron.


  • 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