拓扑空间逆系统的基本性质  

Basic Properties of Inverse System of Topological Spaces

作　　者：赵斌[1] 

机构地区：[1]喀什师范学院数理系,新疆喀什844007

出　　处：《喀什师范学院学报》2007年第3期1-4,共4页Journal of Kashgar Teachers College

基　　金：新疆教育厅高校科研计划重点项目(XJEDU2004158)

摘　　要：介绍拓扑空间的逆系统及其极限空间的一些基本性质,讨论了投射与键映射之间的关系及由逆极限空间的开子集诱导出的子逆系统的性质,最后给出了利用拓扑空间族逆极限性质推导其Tychonoff乘积性质的一个定理.We summarize some basic properties of inverse system and its limit space, discuss the relations between the projections and bonding maps and the properties of sub - inverse system deriving from an open subset of an inverse limit space. Finally, we also give a theorem relating to the properties of Tychonoff product space which follows from the properties of inverse limit space.

关 键 词：逆系统 逆极限 键映射 投射 TYCHONOFF乘积 

分 类 号：O189.11[理学—数学]