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赵斌, 江守礼. 遗传 -可膨胀与遗传几乎 -可膨胀空间的逆极限[J]. 山东大学学报, 2007, 42(7): 87-90.

被以下文章引用:

• 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.