首先证明了强次亚紧空间的一个逆极限定理；

This paper first prove an inverse limit theorem of strongly submetacompact spaces;

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空间X是几乎亚紧的当且仅当X的每一单调开覆盖U有一个开加细，且在X的某一稠密子集上是点有限的；

A space X is nearly metacompact if and only if every monotone open cover U has an open refinement that is point-finite on some dense subset of X;

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给出了可数强仿紧空间、亚强仿紧空间、亚弱仿紧空间以及亚强紧、亚弱紧的概念，并且讨论了它们的性质。

In this paper, we introduce the concept of a nearly strongly paracompact space, and give some characterizations of it.

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