序列中紧空间的逆极限性质  

The Inverse Limit Properties of Sequentially Mesocompact Spaces

作　　者：何桂添[1] 黄浩然[1] 熊华荣[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2009年第2期217-219,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10726070)资助项目

摘　　要：主要证明如下结论:设X=lim←{Xα,παβ,Λ},λ=|Λ|并且每个投射πα是开满映射,如果X是λ-仿紧的且每个Xα是序列中紧的,则X是序列中紧的;如果X是遗传λ-仿紧的且每个Xα是遗传序列中紧的,则X是遗传序列中紧的.This paper proves the following results.Let X=lim←{Xα,παβ,Λ},λ=｜Λ｜ and each projection πa is an openand onto mapping, if X is λ-paracompact and each Xa is sequentially mesocompact spaces, then X is sequentially mesocompact spaces, if X is hereditarily ,λ-paracompact and each Xa is hereditarily sequentially mesocompact spaces, then X is hereditarily sequentially mesocompact spaces.

关 键 词：序列中紧空间 逆极限 遗传序列中紧空间 

分 类 号：O189.1[理学—数学]