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On a class of convex polytopes

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Abstract

Let ℘ denote the class of convex polytopesP having the following property: IfQ 1 andQ 2 are any subpolytopes ofP with no vertex in common, thenQ 1 ∩Q 2 is either empty or a single point. A characterization of ℘ is given which implies the characterization of strongly positively independent sets due to McKinney, Hansen and Klee.

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Authors and Affiliations

  1. Universität Dortmund, Dortmund, Germany

    Jürgen Eckhoff

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  1. Jürgen Eckhoff
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Eckhoff, J. On a class of convex polytopes. Israel J. Math. 23, 332–336 (1976). https://doi.org/10.1007/BF02761810

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  • DOI: https://doi.org/10.1007/BF02761810

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