Y-空间上连续映射的非游荡集

Non-wandering set of continuous map on Y-space

本文研究Y-空间(Y={z∈C:z3∈[0,1]})上连续自映射的非游荡集的拓扑结构,证明了不在周期点闭包中ω-极限点都具有无限轨迹。推广了区间和圆周连续自映射的相应结论,改进了树映射的相应结论。

Here we study the topological structure of non-wandering set of self-continuous map on Y--space, we prove that for any x∈Y and x∈W（f）-P（f）,then x∈Ω（f）. we extend the corresponding results on interval and circle, and improve the result on tree map.