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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1981-0621991-2

Keywords:
Prime knot,
tangle,
branched cover,
irreducible -manifold

Article copyright:
© Copyright 1981
American Mathematical Society