Linked orbits of homeomorphisms of the plane and Gambaudo-Kolev Theorem

J. P. Boronski

Let $h:{\mathbb{R}}^2\to {\mathbb{R}}^2$ be an orientation preserving homeomorphism of the plane. For any bounded orbit $\mathcal{O}(x)=\{h^n(x):n\in \mathbb{Z}\}$ there exists a fix…