Exact computation for existence of a knot counterexample

Applied General Topology

T. J. Peters¹  K. Marinelli¹ 

[1] University of Connecticut

关键词: knot theory;    isotopy;    parametric curve;   

DOI  :  10.4995/agt.2019.10928

学科分类：几何与拓扑

来源: Open Journal Systems

【 摘 要 】

Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in scientic visualization, but did not provide a formal proof of self-intersection. An example with a formal existence proof is given, even while the exact self-intersection point remains undetermined.

【 授权许可】

CC BY-NC-ND