Geodesic
Partially Closed Braids
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 99-107

Voir la notice de l'article provenant de la source Cambridge University Press

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 
Thomas, R. S. D. Partially Closed Braids. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 99-107. doi: 10.4153/CMB-1974-018-8
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[3] 3. D, R. S.. Thomas, 'An Algorithm For Combing Braids', Proc. Second Louisiana Conference On Combinatorics,Graph Theory, And Computing, Baton Rouge, La., 1971, Pp. 517-532. Google Scholar

[4] 4. Alexander, J. W., A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 93-95. Google Scholar

[5] 5. Reidemeister, K., Knotentheorie (Ergebnisse der Mathematik 1), Berlin, 1932. Google Scholar

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