拓扑动力系统〈βN,N,σ〉

Topological Dynamics〈βN,N,σ〉

讨论了特殊而有意义的拓扑动力系统〈βN ,N ,σ〉 ,给出了该系统中非游荡点集的性质 ,并证明该系统中不存在周期点 。

We discussed a special and significant topological dynamics 〈βN,N,σ〉 in this paper.We gave the property of non wandering points set in this system, and proved that there was no periodic points in this system. At last we applied the definition of the power ultrafilter, the dipiction of the recurrent points and stable points were given.