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

 

Adding a $ 2$-handle to a $ 3$-manifold: an application to property $ R$


Author: William Jaco
Journal: Proc. Amer. Math. Soc. 92 (1984), 288-292
MSC: Primary 57N10; Secondary 57M25
MathSciNet review: 754723
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Abstract: A sufficient condition is given for adding a $ 2$-handle to a $ 3$-manifold and obtaining a $ 3$-manifold with incompressible boundary. The main result is then used to show that a knot in the $ 3$-sphere admitting a partially unknotted spanning surface has Property $ R$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0754723-6
PII: S 0002-9939(1984)0754723-6
Article copyright: © Copyright 1984 American Mathematical Society