A class of two-bridge knots with property-𝑃

Mayland, E. J.

doi:10.1090/S0002-9939-1977-0448335-8

A class of two-bridge knots with property-$P$
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by E. J. Mayland

Proc. Amer. Math. Soc. 64 (1977), 365-369

DOI: https://doi.org/10.1090/S0002-9939-1977-0448335-8

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Abstract:

A knot k has property-P provided no simply connected manifold results from performing a nontrivial elementary surgery along k. We establish property-P for certain families of two-bridge knots generalizing twist knots (Whitehead doubles of the trivial knot).

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