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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On noninvertible links with invertible proper sublinks


Author: W. C. Whitten
Journal: Proc. Amer. Math. Soc. 26 (1970), 341-346
MSC: Primary 55.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0264647-9
MathSciNet review: 0264647
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Abstract | References | Similar Articles | Additional Information

Abstract: The title supports the primary objective of this paper. Specifically, for each $\mu \geqq 3$, a noninvertible, oriented, ordered link of $\mu$ components tamely imbedded in ${S^3}$ is exhibited with the property that each proper sublink is invertible. The case $\mu = 2$ has been covered in a previous paper.


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Keywords: Classical knot theory, noninvertible knots, noninvertible links, "Brunnian type” invertibility problem
Article copyright: © Copyright 1970 American Mathematical Society