Polytopes; Compact Convex Sets

Part of the Problem Books in Mathematics book series (PBM)


We’ll be working in a d-dimensional real affine space X, for d finite. A polytope is a convex compact set with non-empty interior, which can be realized as the intersection of a finite number of closed half-spaces of X (cf. 2.G). We shall assume there are no superfluous half-spaces in the intersection. For d = 2 we use the word polygon.


Compact Convex Isoperimetric Inequality Differentiable Manifold Regular Polyhedron Regular Simplex 
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Copyright information

© Marcel Berger 1984

Authors and Affiliations

  1. 1.U.E.R. de Mathematique et InformatiqueUniversité Paris VIIParis, Cedex 05France
  2. 2.Centre National de la Recherche ScientifiqueParisFrance
  3. 3.P.U.K.GrenobleFrance

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