拓扑空间中ω-极限集的几个性质

Several Properties of ω-Limit Set in Topological Space

一般对动力系统中ω-极限集的研究都是基于度量空间上的,在度量空间中,特别是紧致度量空间中对ω-极限集的研究已经比较成熟了;此处在拓扑空间中来研究ω-极限集的性质,得出了3个结论.

In general dynamical system,the research on ω-limit set is all based on metric space,in metric space,especially in compact metric space,the research on ω-limit set has been relatively mature. This paper studies the property of ω-limit set in topological space and obtains three conclusions.