On the necessity of Reidemeister move 2 for simplifying immersed planar curves

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dc.creatorHagge, Tobias J.
dc.creatorYazinski, Jonathan T.
dc.date2008-12-05
dc.date.accessioned2026-07-07T12:09:59Z
dc.date.available2026-07-07T12:09:59Z
dc.descriptionIn 2001, Oestlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion from the circle into the plane to the standard embedding of the circle. We show that this conjecture is false.
dc.description10 pages, 21 figures
dc.identifierhttps://arxiv.org/abs/0812.1241
dc.identifierhttp://arxiv.org/abs/0812.1241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209815
dc.subjectGeometric Topology
dc.subject57M25
dc.titleOn the necessity of Reidemeister move 2 for simplifying immersed planar curves
dc.typetext

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