关于遗传狭义拟仿紧的逆极限

On Inverse Limits of Hereditarily Strict Qua-si-Paracompactness

摘要: 给出了遗传狭义拟仿紧的等价刻划，利用等价刻划证明了在遗传κ-狭义拟仿紧条件下，遗传狭义拟仿紧性可被其逆极限空间保持。

Abstract: The equivalent characterizations of hereditarily strict quasi-paracompactness are given, and by us- ing these, we proved that the hereditarily strict quasi-paracompactnes can be preserved by the inverse limit spaces under the assumption of hereditarily κ-strict quasi-paracompactness.