标题:
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
关键字:
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
期刊名称:
《Pure Mathematics》, Vol.2 No.1, 2012-01-16
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.