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The number of faces of centrally-symmetric polytopes

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References

  1. Barany, I., Lovasz, L.: Borsuk's theorem and the number of facets of centrally symmetric polytopes. Acta Math. Acad. Sci. Hung.40, 323–329 (1982)

    Google Scholar 

  2. Figiel, T., Lindenstrauss J., Milman, V.D.: The dimension of almost spherical sections of convex sets. Acta Math.139, 53–94 (1977)

    Google Scholar 

  3. Hanner, O.: Intersection of translates of convex bodies. Mat. Scand.4, 65–87 (1956)

    Google Scholar 

  4. Hansen, A.B., Lima, A.: The structure of finite dimensional Banach spaces with the 3.2 intersection property. Acta Math.146, 1–23 (1981)

    Google Scholar 

  5. Meyer, M.: Une caractérisation volumique de certains espaces normés de dimension finis. Isr. J. Math.55, 317–327 (1986)

    Google Scholar 

  6. Reisner, S.: Minimal volume-product in Banach spaces with a l-unconditional bases. J. London Math. Soc. (2)36, 126–136 (1987)

    Google Scholar 

  7. Stanley, R.: The number of faces of simplicial centrally-symmetric polytopes. Graphs and Combinatorics3, 55–66 (1986)

    Google Scholar 

  8. Bourgain, J., Milman, V.D.: New Volume ratio properties for convex symmetric bodies in ℝn, Invent. Math.88, 319–340 (1987)

    Google Scholar 

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  1. The Edmund Landau Center in Mathematical Analysis Institute of Mathematics, Hebrew University, Jerusalem, Israel

    Gil Kalai

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  1. Gil Kalai
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Kalai, G. The number of faces of centrally-symmetric polytopes. Graphs and Combinatorics 5, 389–391 (1989). https://doi.org/10.1007/BF01788696

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