Knots and links without parallel tangents

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dc.creatorWu, Ying-Qing
dc.date1999-12-06
dc.date.accessioned2026-07-07T05:32:09Z
dc.date.available2026-07-07T05:32:09Z
dc.descriptionSteinhaus conjectured that every closed oriented $C^1$-curve has a pair of anti-parallel tangents. Porter disproved the conjecture by showing that there exist curves with no anti-parallel tangents. Colin Adams rised the question of whether there exists a nontrivial knot in $\R^3$ which has no parallel or antiparallel tangents. The main result of this paper solves this problem, showing that any (smooth or polygonal) link $L$ in $\R^3$ is isotopic to a smooth link $\hat L$ which has no parallel or antiparallel tangents.
dc.description11 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/9912050
dc.identifierhttp://arxiv.org/abs/math/9912050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79558
dc.subjectGeometric Topology
dc.subject57M25
dc.titleKnots and links without parallel tangents
dc.typetext

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