群作用下逆极限空间上移位映射的G非游荡点与G链回归点  

G-Nonwandering Points and G-Chain Recurrent Points of the Shift Map in the Inverse Limit Space of a Topological Group Action

作　　者：冀占江 JI Zhan-jiang(School of Information and Electronic Engineering,Wuzhou University,Wuzhou 543002,China;Laboratory of Complex Systems Simulation and Intelligent Computing,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]梧州学院信息与电子工程学院,中国梧州543002 [2]梧州学院复杂系统仿真与智能计算实验室,中国梧州543002

出　　处：《湖南师范大学自然科学学报》2018年第6期77-81,共5页Journal of Natural Science of Hunan Normal University

基　　金：硕士学位授予单位立项建设项目(桂学位[2013]4号)

摘　　要：本文将考虑在群作用下逆极限空间中G非游荡点集和G链回归点集的动力学性质,得到如下结果:(1)移位映射的G非游荡点集等于自映射在其G非游荡点集上形成的逆极限空间;(2)移位映射的G链回归点集等于自映射在其G链回归点集上形成的逆极限空间.这些结果进一步丰富了群作用下逆极限空间上的理论.In this paper,we consider dynamical properties of G-chain recurrent point sets and G-nonwandering point sets in the inverse limit space of a topological group action.Our results show that G-nonwandering point sets of the shift map is equal to the inverse limit space of the self mapping in the G-nonwandering point sets.G-chain recurrent point sets of the shift map is equal to the inverse limit space of the self mapping in the G-chain recurrent point sets.These results should enrich the theory of the inverse limit space of a topological group action.

关 键 词：逆极限空间 移位映射 G非游荡点 G链回归点 

分 类 号：O189.11[理学—数学]