| 拓扑空间的相对分离性 |
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| 引用本文： | 张可秀. 拓扑空间的相对分离性[J]. 漳州师院学报, 2009, 0(3): 14-17 |
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| 作者姓名： | 张可秀 |
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| 作者单位： | 漳州师范学院数学与信息科学系,福建漳州363000 |
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| 基金项目： | 国家自然科学基金资助项目（10671173）;福建省自然科学基金资助项目（2006J0228,2008F5066） |
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| 摘 要： | 本文讨论了拓扑空间的相对分离性，证明了若Y在X中是Ti的，则Y在X中是Ti-1（i=3，4）；当Y是X的既开又闭子空间时，Y正规、Y在X中正规、Y在X中拟正规和Y在X中强正规是等价的．同时给出子空间的相对分离性．
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| 关 键 词： | Y在X中T3 Y在X中T4 Y在X中正规 Y在X中拟正规 Y在X中强正规 |
Relative Separation Properties in Topological Space |
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| ZHANG Ke-xiu. Relative Separation Properties in Topological Space[J]. Journal of ZhangZhou Teachers College(Philosophy & Social Sciences), 2009, 0(3): 14-17 |
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| Authors: | ZHANG Ke-xiu |
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| Affiliation: | ZHANG Ke-xiu (Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, Fujian 363000, China) |
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| Abstract: | In this paper, some relative separation properties in topological space. It is proved that if Y is T in X, then Yis Ti-1 in X ,where i is from 3 to 4; When Y is a open and closed subspace of X ,Y is normal in X if and only if Yis quasi-normal in X if and only if Y is strongly normal in X. Relative separation properties of its＇ subspace is also given. |
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| Keywords: | Y is T3 in X Y is T4 in X Y isnormalin X Y isquasi-normalin X Y is strongly normal in X |
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