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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最后，讨论了弱诱导包含式正则空间中层仿紧集的特征。

Finally , thecharacterizations of sheaf paracompact sets in weak induced contained type regularspaces are glven.

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弱遍历是在紧致系统上的一种新的遍历概念。

Weakly ergodic is a new ergodic conception on compact system.

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