在强仿紧空间的基础上定义了三种局部强仿紧空间，分别讨论了它们的有关性质。
Three kinds of locally strongly paracompact spaces are defined. Their properties are discussed respectively.
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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