The Extension of Knot Groups to Tangles

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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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Algebraic Topology, Category Theory, 57M27 (Primary) 16B50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/95113

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509665
 http://arxiv.org/abs/math/0509665

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arXiv