Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 229-235 |
| Number of pages | 7 |
| Journal | Discrete and Computational Geometry |
| Volume | 19 |
| Issue number | 2 |
| DOIs | |
| State | Published - Mar 1998 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics