Another Generalization of Caratheodory's Theorem.

Abstract

When P is a d-dimensional convex polytope with vertex-set V, the term V-simplex to denote a d-simplex whose vertices all belong to V is used. When k = 0 the theorem is Caratheodory's and when k = d-1 it is a slight sharpening of Goodearl's conjecture.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA087392

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  • Victor Klee

Organizations

  • University of Washington

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  • Approximation (Mathematics)
  • Construction
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  • Mathematics