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We say a family of geometric objects C has (l, k)-property if every subfamily C ⊆ C of cardinality at most l is k-piercable. In this paper we investigate the existence of g(k, d) such that if any family of objects C in R d has the (g(k, d), k)-property, then C is k-piercable. Danzer and Grünbaum showed that g(k, d) is infinite for families of boxes and(More)
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