On the dynamic of monotone graph, dendrite and dendroid maps
نویسندگان
چکیده
We show that, for monotone graph map f , all the ω-limit sets are finite whenever f has periodic point and for monotone dendrite map, any infinite ω-limit set does not contain periodic points. As a consequence, monotone graph and dendrite maps have no Li-Yorke pairs. However, we built a homeomorphism on a dendroid with a scrambled set having nonempty interior.
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