On the hull numbers of torus links

dc.creatorIzmestiev, Ivan
dc.date2004-12-07
dc.date.accessioned2026-07-07T05:15:02Z
dc.date.available2026-07-07T05:15:02Z
dc.descriptionThe n-th hull of a union of curves in R^3 is the set of points with the property: Any plane passing through the point intersects the curves at least 2n times. The hull number u(L) 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 are smaller than expected, but still large. In particular, for a link of type (p,p) hull number equals 3p/5, and in general for the type (p,q) with q>p it is greater than or equal to p/2.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0412139
dc.identifierhttp://arxiv.org/abs/math/0412139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73508
dc.subjectGeometric Topology
dc.subject57M25; 52A35
dc.titleOn the hull numbers of torus links
dc.typetext

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