On the necessity of Reidemeister move 2 for simplifying immersed planar curves

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209815In 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.10 pages, 21 figuresGeometric Topology57M25On the necessity of Reidemeister move 2 for simplifying immersed planar curvestext