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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Ordering the Reidemeister moves of a classical knot

Alexander Coward

Algebraic & Geometric Topology 6 (2006) 659–671

arXiv: 0903.1789

Abstract

We show that any two diagrams of the same knot or link are connected by a sequence of Reidemeister moves which are sorted by type.

Keywords
knot diagram, Reidemeister move
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27
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Publication
Received: 8 June 2005
Revised: 13 April 2006
Accepted: 17 April 2006
Published: 18 May 2006
Authors
Alexander Coward
Mathematical Institute
24-29 St Giles’
Oxford
OX1 3LB
UK