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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Prime knots and tangles


Author: W. B. Raymond Lickorish
Journal: Trans. Amer. Math. Soc. 267 (1981), 321-332
MSC: Primary 57M25; Secondary 57M12
DOI: https://doi.org/10.1090/S0002-9947-1981-0621991-2
MathSciNet review: 621991
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Abstract: A study is made of a method of proving that a classical knot or link is prime. The method consists of identifying together the boundaries of two prime tangles. Examples and ways of constructing prime tangles are explored.


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DOI: https://doi.org/10.1090/S0002-9947-1981-0621991-2
Keywords: Prime knot, tangle, branched cover, irreducible $ 3$-manifold
Article copyright: © Copyright 1981 American Mathematical Society

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