Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-1984-0754723-6
MathSciNet review: 754723
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57N10, 57M25

Retrieve articles in all journals with MSC: 57N10, 57M25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1984-0754723-6
Article copyright: © Copyright 1984 American Mathematical Society