Every Reidemeister move is needed for each knot type

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We 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.
8 pages, 8 figures. Changed title and added mention of a partial result by Vassily Manturov

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/70778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404145
 http://arxiv.org/abs/math/0404145

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arXiv