群作用下移位映射的极限跟踪性  

Limit Shadowing Property of the Shift Map Under Group Action

作　　者：时伟 冀占江 覃桂茳 吴海龙[2,3,4] SHI Wei;JI Zhan-jiang;QIN Gui-jiang;WU Hai-long(Wuzhou Vocational College,Wuzhou 543002,China;School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]梧州职业学院,广西梧州543002 [2]梧州学院大数据与软件工程学院,广西梧州543002 [3]梧州学院广西高校图像处理与智能信息系统重点实验室,广西梧州543002 [4]梧州学院广西高校行业软件技术重点实验室,广西梧州543002

出　　处：《数学的实践与认识》2021年第16期196-199,共4页Mathematics in Practice and Theory

基　　金：广西自然科学基金(2020JJA110021);广西高校中青年教师基础能力提升项目(2020KY17007,2021KY0678,2021KY0679);梧州学院校级重点项目(2020B007)。

摘　　要：给出了群作用下极限跟踪性的定义;其次,结合移位映射的性质,证明了移位映射具有G-极限跟踪性.结果对群作用下无限乘积空间中G-极限跟踪性的理论有一定的促进作用.First,we will give the concept of limit shadowing property under group action in this paper.Secondly,We prove that the shift map has the G-limit shadowing property by means of properties of the shift map.The result can promote the theory of G-limit shadowing property in the infinite product space under the action of group.

关 键 词：群作用 无限乘积空间 移位映射 G-极限踪性 

分 类 号：O19[理学—数学]