The Extension of Knot Groups to Tangles

Details The Extension of Knot Groups to Tangles The Extension of Knot Groups to Tangles

2005-09-28

arxiv.org/abs/math/0509665v1

Mathematics

Algebraic Topology

Scientific paper

The extension of the knot group $\pi_1(S^3\setminus K)$ 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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