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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Lens spaces and Dehn surgery


Authors: Steven A. Bleiler and Richard A. Litherland
Journal: Proc. Amer. Math. Soc. 107 (1989), 1127-1131
MSC: Primary 57N10; Secondary 57M25
MathSciNet review: 984783
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Abstract: The question of when a lens space arises by Dehn surgery is discussed with a characterization given for satellite knots. The lens space $ L\left( {2,1} \right)$, i.e. real projective $ 3$-space, is shown to be unobtainable by surgery on a symmetric knot.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0984783-3
PII: S 0002-9939(1989)0984783-3
Article copyright: © Copyright 1989 American Mathematical Society