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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Twisting operations and composite knots


Author: Masakazu Teragaito
Journal: Proc. Amer. Math. Soc. 123 (1995), 1623-1629
MSC: Primary 57M25
MathSciNet review: 1254855
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Abstract: Suppose that a composite knot K in $ {S^3}$ can be changed to a trivial knot by 1/n-surgery along a trivial loop C. We show that $ \vert n\vert \leq 2$. Moreover, if there is a decomposing sphere of K which meets C in two points, then $ \vert n\vert \leq 1$.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1254855-X
Keywords: Knot, twisting
Article copyright: © Copyright 1995 American Mathematical Society