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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In an unpublished preprint W. Thurston showed the existence of a six component link in the 3-sphere such that every three-manifold can be expressed as a branched cover of the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
|Uncontrolled Keywords:||3-manifolds as branched covering spaces over 3-sphere; universal knot|
|Subjects:||Sciences > Mathematics > Topology|
W. Thurston, Universal links (preprint).
|Deposited On:||23 Nov 2012 11:57|
|Last Modified:||07 Feb 2014 09:43|
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