科研之友
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摘要
We show that, for monotone graph map f, all the omega-limit sets are finite whenever f has periodic point and for monotone dendrite map, any infinite omega-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.
- 出版日期2011-11
