网状空间诱导极限的弱可数紧正则性  

WEAKLY COUNTABLE COMPACT REGULARITY OF INDUCTIVE LIMITS OF WEBBED SPACES

作　　者：丘京辉[1] 郝媛[1] 王璀[1] 

机构地区：[1]苏州大学数学科学学院,江苏苏州215006

出　　处：《数学杂志》2009年第5期622-626,共5页Journal of Mathematics

基　　金：国家自然科学基金资助项目(10571035)

摘　　要：本文研究了诱导极限按弱拓扑的正则性.应用Banach圆盘的方法和严格网状空间的局部化定理,证明了若严格网状空间的诱导极限满足条件(Q0),则它必为凸弱可数紧正则的.In this article, we investigate the regularity of inductive limits with respect to weak topologies. By using the method of Banach disks and the localization theorem for strictly webbed spaces, we prove that if an inductive limit of strictly webbed spaces satisfies condition （Q0）, then, it is convex weakly countably compact regular.

关 键 词：诱导极限 严格网状空间 弱可数紧正则性 

分 类 号：O177.3[理学—数学]