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http://hdl.handle.net/10077/4117| Title: | On the Determination of Knots by their Cyclic Unbranched Coverings | Authors: | Zimmermann, Bruno P. | Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 39 (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. |
Type: | Article | URI: | http://hdl.handle.net/10077/4117 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| ZimmermannRendMat39.pdf | 113.21 kB | Adobe PDF |  View/Open |
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