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Thin sets and common transversals

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Publication:1140866
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DOI10.1007/BF01918521zbMath0436.52006MaRDI QIDQ1140866

Meir Katchalski

Publication date: 1980

Published in: Journal of Geometry (Search for Journal in Brave)


zbMATH Keywords

common transversalsfinite family of thin sets


Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

The colored Hadwiger transversal theorem in \(\mathbb{R}^d\) ⋮ Algorithms for high dimensional stabbing problems ⋮ A generalization of Hadwiger's transversal theorem to intersecting sets ⋮ Necessary and sufficient conditions for hyperplane transversals ⋮ Polyhedral line transversals in space



Cites Work

  • On common transversals
  • On a theorem of L. A. Santaló
  • Common Transversals for Families of Sets†
  • Helly's Theorems on Convex Domains and Tchebycheff's Approximation Problem
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