2026-06-28T10:08:09Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/586602023-08-25T23:04:19Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Montesinos Amilibia, José María
2023-06-20T18:48:09Z
2023-06-20T18:48:09Z
2003
1139-1138
https://hdl.handle.net/20.500.14352/58660
http://www.mat.ucm.es/serv/revmat/vol16-1j.html
http://www.springer.com/
According to the confirmed Smith Conjecture [The Smith conjecture (New York, 1979), Academic Press, Orlando, FL, 1984;], a tame knot in the 3-sphere has a cyclic branched covering that is also the 3-sphere only if it is trivial. Here the author produces a nontrivial, wild knot whose n-fold cyclic branched cover is S3, for all n. In fact there are uncountably many inequivalent knots with this property, and the knots can be chosen to bound an embedded disk that is tame in its interior. One might conjecture that any wild knot whose nontrivial n-fold cyclic branched cover is S3 must bound such a disk that is tame in its interior.
eng
Uncountably many wild knots whose cyclic branched covering are S3
journal article
URL
https://docta.ucm.es/bitstreams/67227018-ab7f-4438-9e43-acc5e97b1e15/download
File
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0848cc7e7e7a1abd7235d963fce7a413
286509
application/pdf
montesinos65.pdf