The number of strings on essential tangle decompositions of a knot can be unbounded (Q341748)

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scientific article; zbMATH DE number 6653749
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The number of strings on essential tangle decompositions of a knot can be unbounded
scientific article; zbMATH DE number 6653749

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    The number of strings on essential tangle decompositions of a knot can be unbounded (English)
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    17 November 2016
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    Surprisingly, the author constructs ``an infinite collection of knots with the property that any knot in this family has \(n\)-string essential tangle decompositions for arbitrarily high \(n\)''; crediting Cameron Gordon for ``comments along the development of this paper''.
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    essential tangle decomposition
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    meridional essential surface
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