| 拓扑空间的次分离性 |
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| 引用本文： | 荆佩,李生刚,伏文清,曹婷.拓扑空间的次分离性[J].西安石油大学学报(自然科学版),2012,27(5):106-110,12. |
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| 作者姓名： | 荆佩 李生刚 伏文清 曹婷 |
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| 作者单位： | 1. 陕西师范大学数学与信息科学学院,陕西西安,710062
2. 西安工业大学理学院,陕西西安,710032 |
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| 基金项目： | 国家自然科学基金，陕西省自然科学基金，陕西省教育厅专项科研计划项目基金 |
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| 摘 要： | 旨在研究T4拓扑空间的一般化.为此定义了拓扑空间的次T2、次正则、次正规、遗传次正规等次分离性,详细地讨论了它们之间以及它们与已有分离性之间的联系,并且研究了这些次分离性的遗传性、可乘性以及与Wallman紧化和非标准紧化的联系.
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| 关 键 词： | 次T2空间 次正则空间 次正规空间 遗传次正规空间 似仿紧空间 闭映射 Wallman紧化 非标准紧化 |
Sub-separation axioms in topological spaces |
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| JING Pei,LI Sheng-gang,FU Wen-qing,CAO Ting.Sub-separation axioms in topological spaces[J].Journal of Xian Shiyou University,2012,27(5):106-110,12. |
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| Authors: | JING Pei LI Sheng-gang FU Wen-qing CAO Ting |
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| Institution: | 1(1.College of Mathematics and Information Sciences,Shaanxi Normal University,Xi’an 710062,Shaanxi,China;2.School of Sciences,Xi’an Technological University,Xi’an 710032,Shaanxi,China) |
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| Abstract: | The extensions of T4 topological spaces are studied.The sub-T2,sub-regular,sub-normal and hereditarily sub-normal separation axioms are defined in topological spaces,the relationships among them and relationships between them and the existing separation axioms are discussed in detail,the hereditary property and multiplicative property of these sub-separation axioms and the connections between them and compactifications(such as Wallman compactifications and nonstandard compactifications) of topological spaces are also studied. |
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| Keywords: | sub-T2 space sub-regular space sub-normal space hereditarily sub-regular space paracompact-like space closed mapping Wallman compactification nonstandard compactification |
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