Containment and circumscribing simplices

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)229-235
Number of pages7
JournalDiscrete and Computational Geometry
Volume19
Issue number2
StatePublished - 1998

Fingerprint

Mixed Volume
Convex Body
Theorem

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology

Cite this

Containment and circumscribing simplices. / Lutwak, E.

In: Discrete and Computational Geometry, Vol. 19, No. 2, 1998, p. 229-235.

Research output: Contribution to journalArticle

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