摘要
利用范畴论中范畴与函子的概念,定义了动力系统范畴T到包络半群范畴E的共变函子F1及范畴T到范畴E*的反变函子F2,并分别讨论了范畴T中乘积系统的包络半群与范畴E中包络半群直积的一致性及范畴T中逆极限系统的包络半群与范畴E中包络半群逆极限的一致性.
AbIn this paper, we define a covariant functor F1 from the category of dynamical system T to the category of enveloping semigroup E and a contravariant functor F2 from the category T to the category E＊ by means of the concepts of category and functor in categorical theory. In addition, the questions are discussed whether the enveloping semigroup of product space in the category T is equal to the product of the enveloping semigroups in the category E and the enveloping semigroup of inverse limit space in the category T is equal to the inverse limit of the enveloping semigroups in the category E.
出处
《泉州师范学院学报》
2011年第4期1-4,共4页
Journal of Quanzhou Normal University
关键词
动力系统
包络半群
因子映射
范畴
函子
dynamical system
enveloping semigroup
factor map
category
functor
作者简介
通信作者：陈尔明（1951-），男，教授，从事拓扑动力系统研究，E-mail：erming-chen@hotmail．com．
