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Line transversals to translates of a convex body

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Publication:629840
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DOI10.1007/s00454-010-9293-9zbMath1211.52002OpenAlexW2088100996MaRDI QIDQ629840

Jesús Jerónimo-Castro, Edgardo Roldán-Pensado

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00454-010-9293-9


zbMATH Keywords

translatesconvex bodyline transversal


Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10)


Related Items (4)

The T(5) property of packings of squares ⋮ Helly’s theorem: New variations and applications ⋮ Line transversals to blown up closed balls ⋮ A conjecture on line transversals to five unit discs



Cites Work

  • On common transversals
  • Line transversals to translates of unit discs
  • The strip of minimum width covering a centrally symmetric set of points
  • Proof of Grünbaum's conjecture on common transversals for translates
  • The width of the transversal strips of \(T\)(3)-families in the plane
  • New upper bound on the transversal width of \(T\)(3)-families of discs
  • On Banach-Mazur compacta
  • The maximum distance between two-dimensional Banach spaces.
  • Unnamed Item


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