Laboratoire de Mathématiques Raphaël Salem

UMR 6085 CNRS - Université de Rouen Normandie

In this talk we will give some dynamical properties of group actions on
local dendrites. A local dendrite is a continuum for which every point has a
neighborhood which is a dendrite (a locally connected continuum containing
no homeomorphic copy to the circle).
In the first part, we will review some results concerning the structure of
minimal sets and give some new results in this context obtained in joint
work with El Houcein El Abdalaoui. In the second part of the talk, we will
give some properties of two quotient spaces: The orbit space and the orbit
class space.