Abstract

The nth hull of a union of curves in ℝ3 is the set of points with the property: Any plane passing through the point intersects the curves at least 2n times. The hull number of a link L is defined as the minimum number of non-empty hulls a representative of L can have. We show that the hull numbers of torus links is smaller than expected, but still large. In particular, for a torus link of type (p, p) hull number equals [Formula: see text], and in general for the type (p, q) with q > p it is greater than or equal to [Formula: see text].

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