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On the Determination of Knots by their Cyclic Unbranched Coverings
Zimmermann, Bruno P.
2007
Abstract
We show that, for any prime p, a knot K in $S^3$ is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot
in $S^3$ coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Publisher
EUT Edizioni Università di Trieste
Source
Bruno P. Zimmermann, "On the Determination of Knots by their Cyclic Unbranched Coverings”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 337–346.
Languages
en
File(s)