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On a generalization of the Gallai-Sylvester theorem

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Publication:1186085
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DOI10.1007/BF02187827zbMath0765.51002OpenAlexW2087762443MaRDI QIDQ1186085

Yaakov S. Kupitz

Publication date: 28 June 1992

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131183


zbMATH Keywords

affine spaceSylvester-Gallai theoremfinite spanning set


Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Linear incidence geometry (51A99)


Related Items (2)

Separation of a finite set in \(\mathbb{R}^ d\) by spanned hyperplanes ⋮ Spanned \(k\)-supporting hyperplanes of finite sets in \(\mathbb{R}^ d\)



Cites Work

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  • On representing Sylvester-Gallai designs
  • A resolution of the Sylvester-Gallai problem of J.-P. Serre
  • Affine embeddings of Sylvester-Gallai designs
  • On the Number of Ordinary Lines Determined by n Points
  • A Generalization of a Theorem of Sylvester on the Lines Determined by a Finite Point Set.
  • The Lines and Planes Connecting the Points of a Finite Set


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