关于Submeta-紧空间的逆极限性质  

Properties of the Inverse Limits of Submetacompactness

作　　者：纪广月 

机构地区：[1]肇庆工商学院财会系,广东肇庆526020

出　　处：《吉林师范大学学报（自然科学版）》2012年第3期71-72,76,共3页Journal of Jilin Normal University:Natural Science Edition

摘　　要：得到了如下结果:设X是逆系统{Xα,παβ,∧}的逆极限,|Λ|=λ,假设每个投射πa∶X→Xα是开且到上的,X是λ-仿紧的,如果每个Xa是Submeta-紧的,则X是Submeta-紧的.In this paper,we draw the conclusion that let X be the limit of an inverse system and λ the crdinal number of Λ.Suppose each projection πα∶X→Xα is an open and onto map,and X is λ-paracompact.If each Xα is a submetacompact space,X is a submetacompact space.

关 键 词：逆极限 Submeta-紧 Λ-仿紧 

分 类 号：O189.11[理学—数学]