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

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

2008-12-05

arxiv.org/abs/0812.1241v1

Mathematics

Geometric Topology

10 pages, 21 figures

Scientific paper

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.

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