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A new view on some characterizations of simplices

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Publication:1822766
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DOI10.1007/BF01198479zbMath0679.52003MaRDI QIDQ1822766

Horst Martini

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

convex bodycylindersimplexprojection bodyChoquet simplexSteiner symmetrizationdifference body


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

Intersections of descending sequences of affinely equivalent convex bodies ⋮ Hull-volume with applications to convergence analysis ⋮ The stability of the Rogers-Shephard inequality and of some related inequalities ⋮ Choquet simplexes in finite dimension -- a survey.



Cites Work

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  • The difference body of a convex body
  • Determining classes of convex bodies by restricted sets of Steiner symmetrizations
  • Some characterizing properties of the simplex
  • Convex polytopes whose projection bodies and difference sets are polars
  • Monotypic polytopes and their intersection properties
  • Some extremal problems for convex bodies
  • An Extremal Property of Simplices
  • A Characteristic Extremel Property of Simplices
  • Ein Approximationssatz für konvexe Körper


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