Herba Cissampelotis

We define the nearly submetacompact space and give a characterization of it.

定义了几乎次亚紧空间 ,给出了它的一个刻画 ,并证明了几乎次亚紧、可数紧T3 空间是紧空

This paper proves the following results:Let X=lim→{Xα,παβ,Λ},λ=|Λ| and each projection πα is an open and onto mapping for each α∈Λ,if X is λ-paracompact and each Xα is nearly submetexpandable,then X is nearly submetexpandable.

如果X是λ-仿紧的且每个Xα是几乎次亚可膨胀的,则X是几乎次亚可膨胀的。

Nearly submetacompact spaces and nearly strongly submetacompact spaces;

几乎次亚紧和几乎强次亚紧空间