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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4117
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| Title: | On the Determination of Knots by their Cyclic Unbranched Coverings |
| Authors: | Zimmermann, Bruno P. |
| Issue Date: | 2007 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | 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. |
| 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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