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Partially Closed Braids
Published online by Cambridge University Press: 20 November 2018
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The purpose of this paper is to define partially closed braids (§3) and to prove that every partially closed braid has a canonical form easily obtainable (§5). These objects are of interest because they can be used to represent knots tied in a string.
Braids have an obvious intuitive meaning to which we shall refer. Braids are also elements of the braid groups of E. Artin [1], defined for each integer n greater than one by the presentation
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- Copyright © Canadian Mathematical Society 1974
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