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.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
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
关键词
序列中紧空间
逆极限
遗传序列中紧空间
sequentially mesocompact spaces
inverse limit
hereditarily sequentially mesocompact spaces
