Every Reidemeister move is needed for each knot type

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dc.creatorHagge, Tobias J.
dc.date2004-04-07
dc.date2004-06-27
dc.date.accessioned2026-07-07T05:07:14Z
dc.date.available2026-07-07T05:07:14Z
dc.descriptionWe show that every knot type admits a pair of diagrams that cannot be made identical without using Reidemeister Omega_2-moves. We also show that our proof is compatible with known results for the other move types, in the sense that every knot type admits a pair of diagrams that cannot be made identical without using all of the move types.
dc.description8 pages, 8 figures. Changed title and added mention of a partial result by Vassily Manturov
dc.identifierhttps://arxiv.org/abs/math/0404145
dc.identifierhttp://arxiv.org/abs/math/0404145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70778
dc.subjectGeometric Topology
dc.subject57M25
dc.titleEvery Reidemeister move is needed for each knot type
dc.typetext

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