The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere

Boris Kolev (1) , Adrian Constantin (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Department of Mathematics [Lund University]

We give a modern exposition and an elementary proof of the topological equivalence between periodic homeomorphisms of the disc and the sphere and euclidean isometries.

Mots clés: Homéomorphismes périodiques; Kerekjarto

Domaines: Systèmes dynamiques [math.DS]; Topologie géométrique [math.GT]

Boris Kolev, Adrian Constantin. The theorem of Kerekjarto on periodic homeomorphisms of the disc and the sphere. L'Enseignement Mathématique , 1994, 40, pp.193-204. ⟨hal-00003266⟩