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

Denis Sauvaget (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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.

Mots clés: 2000 Mathematics Subject Classification. 57R19.; immersion; regular homotopy; quadruple point; 2-sphere eversion

Domaines: Géométrie différentielle [math.DG]

Denis Sauvaget. A simple eversion of the 2-sphere with a unique quadruple point. 2022. ⟨hal-03768205⟩