The number of faces of centrally-symmetric polytopes

@article{Kalai1989TheNO,
  title={The number of faces of centrally-symmetric polytopes},
  author={Gil Kalai},
  journal={Graphs and Combinatorics},
  year={1989},
  volume={5},
  pages={389-391}
}
  • G. Kalai
  • Published 1989
  • Mathematics, Computer Science
  • Graphs and Combinatorics
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The conjectures of Björner are proved and generalizes the result of Bárány-Lovász sincefd−1 =∑ hi, and more strongly that h_i - h_{i - 1} \geqslant \left( {\begin{array}{*{20}c} d \\ i \\ \end{array} } \right) . Expand
Une Caracterisation Volumique de Certains Espaces Normes de Dimension Finie
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Borsuk's theorem and the number of facets of centrally symmetric polytopes
Let C"={x~R": Ix~]<-i i=1 , . . . ,n} be the n-dimensional cube and A be a d-dimensional subspace of R" having no point in common with the ( n d 1 ) dimensional faces of C". We want to find a lowerExpand
The structure of finite dimensional Banach spaces with the 3.2. Intersection property
Let X be a Banach space over the real numbers. Let n and k be integers with 2 ~< k < n. We say tha t X has the n.k. intersection property (n.k.I.P.) if the following holds: Any n balls in X intersectExpand
The dimension of almost spherical sections of convex bodies
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