Universal knots



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Montesinos Amilibia, José María and Hilden, Hugh Michael and Lozano Imízcoz, María Teresa (1983) Universal knots. Bulletin of the American Mathematical Society, 8 (3). pp. 449-450. ISSN 0273-0979

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Official URL: http://www.ams.org/journals/bull/1983-08-03/S0273-0979-1983-15114-5/S0273-0979-1983-15114-5.pdf


In an unpublished preprint W. Thurston showed the existence of a six component link in the 3-sphere such that every three-manifold can be expressed as a branched cover of the 3-sphere branched over this link. He called links with this property "universal links'' and asked if a universal knot exists. The authors confirm this by showing that any link can be embedded in the branch locus of a 3-sphere branched covering of a 3-sphere branched over a knot

Item Type:Article
Uncontrolled Keywords:3-manifolds as branched covering spaces over 3-sphere; universal knot
Subjects:Sciences > Mathematics > Topology
ID Code:17189
Deposited On:23 Nov 2012 11:57
Last Modified:12 Dec 2018 15:14

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