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

TL;DR

This paper provides a modern, elementary proof showing that periodic homeomorphisms of the disc and sphere are topologically equivalent to Euclidean isometries, clarifying their structure.

Contribution

It offers a simplified, modern proof of Kerekjarto's theorem relating periodic homeomorphisms to Euclidean isometries on the disc and sphere.

Findings

Periodic homeomorphisms are topologically equivalent to Euclidean isometries.

Elementary proof simplifies understanding of Kerekjarto's theorem.

Clarifies the structure of periodic homeomorphisms on the disc and sphere.

Abstract

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.