Journal of Geometry

, Volume 14, Issue 2, pp 103–107 | Cite as

Thin sets and common transversals

  • Meir Katchalski


An m-transversal of a family of convex sets in Euclidean n-dimensional space Rn is an m-dimensional flat which intersects each member of the family. This paper establishes some results dealing with (n−1)-transversals in Rn. The results are related to a theorem of Hadwiger on 1-transversals in the plane.


Common Transversal 
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Copyright information

© BirkhÄuser Verlag 1980

Authors and Affiliations

  • Meir Katchalski
    • 1
  1. 1.Technion-Israel Institute of TechnologyHaifaIsrael

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