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Proceedings of the American Mathematical Society

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

 

 

Examples of higher-dimensional slice knots which are not ribbon knots


Author: L. R. Hitt
Journal: Proc. Amer. Math. Soc. 77 (1979), 291-297
MSC: Primary 57Q45
DOI: https://doi.org/10.1090/S0002-9939-1979-0542100-0
MathSciNet review: 542100
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Abstract: A definition for ribbon n-knot is given which reduces to the previously studied definitions for $ n = 1$ and $ n = 2$. It is shown that for each $ n \geqslant 2$ there is a slice n-knot which is not a ribbon n-knot.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0542100-0
Keywords: Ribbon knot, slice knot, infinite cyclic covering space, knot cobordism
Article copyright: © Copyright 1979 American Mathematical Society