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Combinatorial theory of polytopes and polyhedral sets

  • Günter Ewald
Part of the Graduate Texts in Mathematics book series (GTM, volume 168)

Abstract

We will turn now to the specific properties of convex polytopes or, briefly, poly-topes. They have been introduced in I.1 as convex hulls of finite point sets in ℝ n . Our first aim is to show that, equivalently, convex polytopes can be defined as bounded intersections of finitely many half-spaces. (This fact is of particular relevance in linear optimization).

Keywords

Finite Sequence Combinatorial Theory Supporting Hyperplane Affine Subspace Proper Face 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • Günter Ewald
    • 1
  1. 1.Fakultät für MathematikRuhr-Universität BochumBochumGermany

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