On totally periodic ω-limit sets for monotone maps on regular curves

An ω-limit set of a continuous self-mapping compact metric space X is said to be totally periodic if all its points are periodic. In [3] Askri and Naghmouchi proved that f one-to-one self mapping regular curve, then every finite. This also holds whenever monotone map local dendrite by Abdelli in [1]. this paper we generalize these results maps on curves. On the other hand, give some remarks related expansivity sets for space.