4 papers · 1 filter
Dynamics on Hyperspace of Pointwise Periodic Homeomorphisms
Issam Naghmouchi
In this paper, we first prove that the topological entropy of induced map of any distal homeomorphism of a compact metric space is null. Then we consider induced map of an ar…
A note on actions with finite orbits on dendrites
el Houcein el Abdalaoui, Issam Naghmouchi
It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any ame…
Dynamics of homeomorphisms of regular curves
Issam Naghmouchi
In this paper, we prove first that the space of minimal sets of any homeomorphisms of a regular curve is closed in the hyperspace of closed subsets of endo…
Minimal sets and orbit space for group actions on local dendrites
Habib Marzougui, Issam Naghmouchi
We consider a group acting on a local dendrite (in particular on a graph). We give a full characterization of minimal sets of by showing that any minimal set of …