| 引用本文： |
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陈海燕,郑顶伟,吴磊.一类包含σ紧空间和可分空间的拓扑空间[J].广西科学,2004,11(4):296-299. [点击复制]
- Chen Haiyan,Zheng Dingwei,Wu Lei.A Class of Topological Spaces Which Contain σ-Compact Spaces and Separable Spaces[J].Guangxi Sciences,2004,11(4):296-299. [点击复制]
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| 摘要: |
| 定义*σ紧空间的概念,讨论*σ紧空间的一些性质以及*σ紧性与*Lindelöf性,c.c.c与可分性之间的关系,结合点可数基讨论了一些空间的某些性质. |
| 关键词: 拓扑空间 *σ紧 可分性 Lindelöf *Lindelöf性 点可数基 |
| DOI： |
| 投稿时间：2004-04-16修订日期：2004-08-18 |
| 基金项目: |
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| A Class of Topological Spaces Which Contain σ-Compact Spaces and Separable Spaces |
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Chen Haiyan, Zheng Dingwei, Wu Lei
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| (Coll. of Math. & Info. Sci., Guangxi Univ., 100 Daxuelu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| The definition of *σ-compact spaces is given which is the generalization of σ-compact spaces and separable spaces. Some properties of *σ-compact spaces and the relationship of *σ-compactness with *Lindelöf,c.c.c and separability are discussed.Meanwhile,some point countable base certain properties of some spaces are discussed and narrated. |
| Key words: topological space *σ-compact separability Lindelöf *Lindelöf property point countable base |
