On the determination of knots by their cyclic unbranched coverings

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We show that, for any prime p, a knot K in the 3-sphere is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
this is the final version which appears in Rend. Istit. Mat. Univ. Trieste 39, 337-346 (2007)

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/161666

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703268
 http://arxiv.org/abs/math/0703268

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arXiv