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Separation of a finite set in \(\mathbb{R}^ d\) by spanned hyperplanes

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Publication:1311015
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DOI10.1007/BF01202351zbMath0790.52003OpenAlexW2000501530MaRDI QIDQ1311015

Yaakov S. Kupitz

Publication date: 13 January 1994

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202351


zbMATH Keywords

separation of pointsHelly-type


Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Helly-type theorems and geometric transversal theory (52A35)


Related Items (5)

\(k\)-bisectors of finite planar sets ⋮ Cutting a set of disks by a line with leaving many intact disks in both sides ⋮ A theorem on strict separability of convex polyhedra and its applications in optimization ⋮ Cutting a bunch of grapes by a plane ⋮ Spanned \(k\)-supporting hyperplanes of finite sets in \(\mathbb{R}^ d\)



Cites Work

  • Partitions of mass-distributions and of convex bodies by hyperplanes
  • On a generalization of the Gallai-Sylvester theorem


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