Invertible knot concordances and prime knots

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dc.creatorKim, Se-Goo
dc.date2000-03-05
dc.date.accessioned2026-07-07T04:34:12Z
dc.date.available2026-07-07T04:34:12Z
dc.descriptionKirby and Lickorish showed that every knot in the 3-sphere is concordant to a prime knot, equivalently, every concordance class contains a prime knot. We prove here that their result can be strengthened: Every knot in the 3-sphere is invertibly concordant to a prime knot. A consequence is that every double concordance class contains a prime knot.
dc.description6 pages, 3 figures, LaTeX 2e
dc.identifierhttps://arxiv.org/abs/math/0003034
dc.identifierhttp://arxiv.org/abs/math/0003034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58815
dc.subjectGeometric Topology
dc.subject57M25
dc.titleInvertible knot concordances and prime knots
dc.typetext

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