序列函数在强一致收敛下极限函数轨道的稠密性  

Denseness of Limit Function Orbit of Sequence Function under Strong Uniform Convergence

作　　者：邓晓霞[1] 金渝光[1] 

机构地区：[1]重庆师范大学数学学院,重庆630047

出　　处：《重庆工商大学学报（自然科学版）》2013年第2期5-7,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10971240)

摘　　要：文献[1]证明了序列系统在强一致收敛下极限系统的许多动力性质(如:拓扑传递、拓扑混合等)可以被遗传,但是在一致收敛下不能被遗传。在此基础上对序列函数的极小性、传递性来讨论其极限函数轨道的稠密性问题进行了研究.The reference [ 1 ] proved that many dynamic properties of limit system of sequence system such as topological transmission, topological mixing and so on under strong uniform convergence could be inherited but could not be inherited under uniform convergence, based on this, the research on the denseness issue of limit function orbit discussed by minimum value and inheritance of sequence function is conducted.

关 键 词：强一致收敛 单边传递性 拓扑传递性 极小性 

分 类 号：O182.1[理学—数学]