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

There exist arbitrarily many different disk knots with the same exterior


Authors: L. R. Hitt and D. W. Sumners
Journal: Proc. Amer. Math. Soc. 86 (1982), 148-150
MSC: Primary 57Q45
MathSciNet review: 663885
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Abstract: We prove that, for $ n \geqslant 5$, exteriors of disk knots of $ {D^n}$ in $ {D^{n + 2}}$ can be exteriors of arbitrarily many different disk knots.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0663885-9
PII: S 0002-9939(1982)0663885-9
Keywords: Disk knot, indeterminacy index, weight element
Article copyright: © Copyright 1982 American Mathematical Society