The Intersection of Convex Transversals is a Convex Polytope

نویسندگان

  • Jim Lawrence
  • Valeriu Soltan
چکیده

It is proven that the intersection of convex transversals of finitely many sets in R is a convex polytope, possibly empty. Related results on support hyperplanes and complements of finite unions of convex sets are given. MSC 2000: 52A20

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تاریخ انتشار 2008