Knots and Involutions.
Richard Hartley (1980)
Mathematische Zeitschrift
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Richard Hartley (1980)
Mathematische Zeitschrift
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Ronald Fintushel, Ronald J. Stern (1980)
Mathematische Zeitschrift
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J.A. Hillman, S.P. Plotnick (1990)
Mathematische Annalen
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Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
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Daniel S. Silver, Susan G. Williams (2009)
Banach Center Publications
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A conjecture of [swTAMS] states 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.
Ying-Qing Wu (1993)
Mathematische Annalen
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Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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Corinne Cerf (2002)
Visual Mathematics
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P. V. Koseleff, D. Pecker (2014)
Banach Center Publications
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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Yasutaka Nakanishi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.