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The Extension of Knot Groups to Tangles

John Armstrong
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Abstract

The extension of the knot group $π_1(S^3\setminus K)$ to the category of tangles is introduced via a new category-theoretic construction. Through this presentation, a new avenue of proof for results about knot groups is opened.

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John Armstrong. 2005-09-28. The Extension of Knot Groups to Tangles. https://arxiv.org/abs/math/0509665

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