ON TOTALLY PERIODIC ω-LIMIT SETS FOR MONOTONE MAPS ON REGULAR CURVES
Les ensembles ω-limite totallement periodique pour les applications monotones sur les continus régulier.
Résumé
An ω-limit set of a continuous self-mapping of a compact metric space X is said to be totally periodic if all of its points are periodic. In [2], Askri and Naghmouchi proved that if f is a homeomorphism on regular curve, then every totally periodic ω-limit set is finite. In [1], Abdelli proved that for every monotone map on a local dendrite every totally periodic ω-limit set is finite. In this paper we generalize these results to monotone maps on regular curves.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)