σ集体正规空间的逆极限

Inverse limit of σ collectionwise normal space

作者：幸华雄(成都理工大学应用数学系)；周艳红(四川师范大学成都学院数理教研室)；曹金文(成都理工大学应用数学系)

Author：XING Hua-Xiong(Department of Applied Mathematics,Chengdu University of Technology)；ZHOU Yan-Hong(Department of Mathematics, Sichuan Normal University Chengdu College)；CAO Jin-Wen(Department of Applied Mathematics,Chengdu University of Technology)

收稿日期：2013-11-25 年卷（期）页码：2015,52(3):483-486

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：逆极限；伪开映射；超仿紧；σ 集体正规

Key words：Inverse limit; Pseudo open map; Ultraparacompact; σ Collectionwise normallemma

基金项目：安徽省高等学校省级优秀青年人才基金（2010SQRL158）

中文摘要

本文得到如下两个结果：设X=lim〖DD(X〗←〖DD)〗{Xα,πβα,Λ},|Λ|=k，每个投射πα：X→Xα是伪开映射, （1）若X是k 超仿紧的且每个Xα是σ 集体正规的，则X是σ 集体正规的；（2）若X是遗传k 超仿紧的且每个Xα是遗传σ 集体正规的，则X是遗传σ 集体正规的.

英文摘要

In this paper we obtain the following results: Let X=lim〖DD(X〗←〖DD)〗{Xα,πβα,Λ} and |Λ|=k, suppose that each projection πα：X→Xα is a pseudo open map, then we have (1) If X is k ultraparacompact and Xα is σ collectionwise normal,then X is σ collectionwise normal;(2) If X is hereditarily k ultraparacompact and Xα is hereditarily σ collectionwise normal,then X is hereditarily σ collectionwise normal space.

【关闭】

论文摘要

σ集体正规空间的逆极限

Inverse limit of σ collectionwise normal space