Israel Journal of Mathematics

, Volume 1, Issue 1, pp 1–4 | Cite as

On a conjecture of lindenstrauss

  • Victor Klee


It is proved that eachn-dimensional centrally symmetric convex polyhedron admits a 2-dimensional central section having at least 2n vertices. Some other related results are obtained and some unsolved problems are mentioned.


Convex Polygon Real Vector Space Convex Polyhedron Dense Open Subset Symmetric Convex 
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  1. 1.
    Bourbaki, N., 1955,Espaces vectoriels topologiques, Chaps. 3–5, A.S.I.,1229, Hermann, Paris.Google Scholar
  2. 2.
    Klee, V., 1959, Some characterizations of convex polyhedra,Acta. Math.,102, 79–107.MATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Klee, V., 1960, Polyhedral sections of convex bodies,Acta. Math.,103, 243–267.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Hebrew University 1963

Authors and Affiliations

  • Victor Klee
    • 1
  1. 1.University of WashingtonSeattleU.S.A.

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