2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95113The 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.Algebraic TopologyCategory Theory57M27 (Primary) 16B50 (Secondary)The Extension of Knot Groups to Tanglestext