The following containment theorem is presented: If K and L are convex bodies such that every simplex that contains L also contains some translate of K, then in fact the body L must contain a translate of the body K. One immediate consequence of this theorem is a strengthened version of Weil's mixed-volume characterization of containment.
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics