| 紧性与分离性的注记 |
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| 引用本文： | 赵树魁,刘杰操.紧性与分离性的注记[J].吉林化工学院学报,2011,28(1):80-82. |
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| 作者姓名： | 赵树魁 刘杰操 |
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| 作者单位： | 吉林化工学院,数理系,吉林,吉林,132022 |
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| 基金项目： | 吉林省教育厅科技计划资助项目(2005133) |
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| 摘 要： | 在对紧性与仿紧性性质研究的基础上,重点建立了紧与紧、紧集与闭子集、强紧集与仿紧集、仿紧集与闭子集的分离性,给出了伪正规、次正规、亚伪正规、次亚伪正规的概念,同时讨论了它们的一些性质,给出了完全正则空间的又一等价定义.
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| 关 键 词： | 伪正规空间 次正规空间 亚伪正规空间 次亚伪正规空间 |
A Note on separation and compactness |
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| ZHAO Shu-kui,LIU Jie-cao.A Note on separation and compactness[J].Journal of Jilin Institute of Chemical Technology,2011,28(1):80-82. |
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| Authors: | ZHAO Shu-kui LIU Jie-cao |
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| Affiliation: | ZHAO Shu-kui1,LIU Jie-cao2(1.College of Sciences,Jilin Institute of Chemical Technology,Jilin City 132022,China,2.Office of Academic Affairs,China) |
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| Abstract: | On the basis of the research of compactness and paracompactness,this paper puts focus on establishing the separation properties between compact and compact,compact set and closed subset,strong compact set and paracompact set,paracompact set and closed subset.The conceptions of pseudo-formal,sub-formal,hypo-pseudo-formal and sub-hypo-pseudo-formal are given.In addition,some of their properties are discussed and a new definition of completely regular space is given. |
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| Keywords: | pseudo-formal space sub-formal space hypo-pseudo-formal space sub-hypo-pseudo-formal space |
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