English

The Extension of Knot Groups to Tangles

Algebraic Topology 2007-05-23 v1 Category Theory

Abstract

The extension of the knot group π1(S3K)\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.

Keywords

Cite

@article{arxiv.math/0509665,
  title  = {The Extension of Knot Groups to Tangles},
  author = {John Armstrong},
  journal= {arXiv preprint arXiv:math/0509665},
  year   = {2007}
}
R2 v1 2026-07-22T17:25:10.248Z