On the necessity of Reidemeister move 2 for simplifying immersed planar curves
Geometric Topology
2008-12-09 v1
Abstract
In 2001, Oestlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion from the circle into the plane to the standard embedding of the circle. We show that this conjecture is false.
Cite
@article{arxiv.0812.1241,
title = {On the necessity of Reidemeister move 2 for simplifying immersed planar curves},
author = {Tobias J. Hagge and Jonathan T. Yazinski},
journal= {arXiv preprint arXiv:0812.1241},
year = {2008}
}
Comments
10 pages, 21 figures