关于Submeta-紧空间的逆极限性质

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.