English

A simple eversion of the 2-sphere with a unique quadruple point

Differential Geometry 2022-09-07 v1

Abstract

We give an example of an eversion of the 2-sphere in the Euclidean 3-space, inspired by Morse theory, with a unique quadruple point. No homotopical tool is used.

Keywords

Cite

@article{arxiv.2209.01865,
  title  = {A simple eversion of the 2-sphere with a unique quadruple point},
  author = {Denis Sauvaget},
  journal= {arXiv preprint arXiv:2209.01865},
  year   = {2022}
}
R2 v1 2026-06-28T00:43:52.649Z