Montesinos Amilibia, José María2023-06-202023-06-2020031139-1138https://hdl.handle.net/20.500.14352/58660Dedicado a Francisco González Acuña en su sexagésimo cumpleañosAccording 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.engjournal articlehttp://www.mat.ucm.es/serv/revmat/vol16-1j.htmlhttp://www.springer.com/restricted access515.162decompositionwild knotbranched coveringTopología1210 Topología