关于拓扑动力系统中的闭集和强不变闭集  

On Closed Set & Strong Invariant Set of Topological Power System

作　　者：孙长岭[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《绵阳师范学院学报》2011年第5期16-18,共3页Journal of Mianyang Teachers＇ College

基　　金：国家自然科学基金资助项目(10971240)

摘　　要：在实线段I上,若f是I上的连续自映射,已经证明周期点集、链回归点集、ω-极限点集是非空闭子集并且相对于f而言是强不变的。该文在一般拓扑空间或者序列紧拓扑空间中,证明了周期点集P(f)、链回归点集CR(f)和ω-极限点集ω(x,f)是闭集而且是强不变闭集.On real segment I, iff is a continuous self- mapping, hence, the concept can be proved, that the periodic point, chain recurrent point and w - limiting point are non - empty closed subsets, and strong invari- ant in terms of f. This paper is to prove this concept on the basis of the general topological space or the sequence of compact topological space.

关 键 词：周期点集 链回归点集 ω-极限点集 强不变闭集 

分 类 号：O189[理学—数学]