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Proceedings of the American Mathematical Society

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

 

 

On preimage knots in $ S\sp 3$


Author: Teruhiko Soma
Journal: Proc. Amer. Math. Soc. 100 (1987), 589-592
MSC: Primary 57M25
DOI: https://doi.org/10.1090/S0002-9939-1987-0891169-7
MathSciNet review: 891169
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Abstract: In [1], Gordon proved that a certain sequence of preimage knots in $ {S^3}$ is finite. In this paper, we prove that every sequence of preimage knots is finite by using the Gromov invariant for knots.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0891169-7
Keywords: Preimage knots, Gromov invariant
Article copyright: © Copyright 1987 American Mathematical Society