κ-仿紧条件下的狭义拟仿紧空间的逆极限定理

Theorems of the inverse limits of strict quasi-paracompactness under the condition of κ-paracompactness

给出了在κ-仿紧条件下的狭义拟仿紧性的逆极限定理,对于遗传狭义拟仿紧性,分别给出了在遗传κ-仿紧和遗传κ-次仿紧两个不同条件下的逆极限定理。

The theorems of inverses limits of strict quasi-paracompactness under the condition of the κ-paracompactness are given.It proves that the hereditarily strict quasi-paracompactnes can be preserved by the inverse limit spaces under the conditions of hereditarily κ-subparacompactness,hereditarily κ-paracompactness respectively.