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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
10 pages, 21 figures

Keywords

Geometric Topology, 57M25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/209815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.1241
 http://arxiv.org/abs/0812.1241

Collections

arXiv