强一致收敛与动力性质(英文)  

Strongly uniform convergence and some dynamical properties

作　　者：曾凡平[1,2] 严可颂[1] 刘新和[2] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004 [2]广西大学数学与信息科学系,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2008年第3期305-309,共5页Journal of Guangxi University（Natural Science Edition）

基　　金：Supported by the National Natural Science Foundation of China(10661001);partially by the Guangxi Natural Science Foundation(0832275);the Natural Science Foundation of Liuzhou Teacher's College(LSZ2007A003)

摘　　要：一般,许多动力性质(如:拓扑传递、拓扑混合等)不能被一致收敛性所遗传.本文引入强一致收敛性的概念,并说明紧致度量空间上映射的一些动力性质被强一致收敛性所保持.In general,some dynamical properties, such as topological transitivity and topological mixing,may not be inherited by the limit map under uniform convergence. In this paper, we introduce the notion of strongly uniform convergence ,and show that some dynamical properties of maps on compact metric spaces are preserved under strongly uniform convergence.

关 键 词：拓扑传递 全传递 弱混合 mild混合 拓扑混合 极小性 强一致收敛 

分 类 号：O189.11[理学—数学]