A remark on companionship and property P
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- by Martin Scharlemann PDF
- Proc. Amer. Math. Soc. 98 (1986), 169-170 Request permission
Abstract:
If some nontrivial Dehn surgery on $\gamma$ yields a homotopy $3$-sphere and $\kappa$ is a companion of $\gamma$, then some nontrivial Dehn surgery on $\kappa$ yields a homotopy $3$-sphere.References
- David Gabai, Foliations and genera of links, Topology 23 (1984), no. 4, 381–394. MR 780731, DOI 10.1016/0040-9383(84)90001-6
- C. McA. Gordon, Dehn surgery and satellite knots, Trans. Amer. Math. Soc. 275 (1983), no. 2, 687–708. MR 682725, DOI 10.1090/S0002-9947-1983-0682725-0
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 169-170
- MSC: Primary 57M25; Secondary 57M40, 57M99
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848897-8
- MathSciNet review: 848897