Piercing Families of Convex Sets with the d -Intersection Property in R d

@article{Karasev2008PiercingFO,
  title={Piercing Families of Convex Sets with the d -Intersection Property in R d},
  author={Roman N. Karasev},
  journal={Discrete & Computational Geometry},
  year={2008},
  volume={39},
  pages={766-777}
}
In this paper, we consider finite families of convex sets in R such that every d or fewer sets of the family have a common point. For some families of this type, we give upper bounds on the size of a finite set intersecting all sets of the family. 

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