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

Proper knots in open $ 3$-manifolds have locally unknotted representatives


Author: Ollie Nanyes
Journal: Proc. Amer. Math. Soc. 113 (1991), 563-571
MSC: Primary 57M30; Secondary 57M25
MathSciNet review: 1065089
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Abstract: Churchard and Spring [1] conjectured that all proper knots in open $ 3$-manifolds are equivalent to (properly isotopic to) a locally unknotted proper knot. This paper proves the conjecture.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1065089-2
PII: S 0002-9939(1991)1065089-2
Article copyright: © Copyright 1991 American Mathematical Society