The Extension of Knot Groups to Tangles
classification
🧮 math.AT
math.CT
keywords
knotextensiongroupstanglesavenuecategorycategory-theoreticconstruction
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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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