理论数学

Vol.2 No.1 (January 2012)

关于遗传狭义拟仿紧的逆极限
On Inverse Limits of Hereditarily Strict Qua-si-Paracompactness

 

作者:

赵斌

 

关键词:

逆极限空间遗传狭义拟仿紧遗传κ-狭义拟仿紧Inverse Limit Space Hereditarily Strict Quasi-Paracompact Hereditarily κ-Strict Qua-si-Paracompact

 

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。

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.

文章引用:

赵斌 (2012) 关于遗传狭义拟仿紧的逆极限。 理论数学, 2, 5-9. doi: 10.12677/pm.2012.21002

 

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