Nonfibered knots and representation shifts

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The authors conjectured previously that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.
8 pages, no figures

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Geometric Topology, Dynamical Systems, 57M25, 37B40

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http://salesiana.dossiersoluciones.com/handle/123456789/135018

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3777
 http://arxiv.org/abs/0707.3777

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arXiv