| S-闭空间的遗传性质 |
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| 引用本文： | 赵树魁,周景新,张明达. S-闭空间的遗传性质[J]. 吉林化工学院学报, 2005, 22(1): 70-72 |
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| 作者姓名： | 赵树魁 周景新 张明达 |
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| 作者单位： | 吉林化工学院,数理系,吉林,吉林,132022;北华大学,师范理学院,吉林,吉林,132033 |
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| 摘 要： | 对拓扑空间的开子空间的性质进行了研究,得出了定理1和定理2,并着重对S 闭空间的遗传性进行了探索,获得定理3和定理4,从而得出S 闭性是正则开可遗传性.
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| 关 键 词： | S-闭空间 S-闭子集 正则开可遗传性 闭保交性空间 |
| 文章编号： | 1007-2853(2005)01-0070-03 |
| 修稿时间： | 2004-12-13 |
Genetic properties of S-closed space |
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| ZHAO Shu-kui,ZHOU Jing-xin,ZHANG Ming-da. Genetic properties of S-closed space[J]. Journal of Jilin Institute of Chemical Technology, 2005, 22(1): 70-72 |
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| Authors: | ZHAO Shu-kui ZHOU Jing-xin ZHANG Ming-da |
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| Affiliation: | ZHAO Shu-kui~1,ZHOU Jing-xin~2,ZHANG Ming-da~2 |
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| Abstract: | The properties of opened subspace of topology space are researched and theorem 2.1 and theorem2.2 are obtained.Then the genetic properties of S-closed space are studied and theorem 2.3 and theorem 2.4 are obtained.So a theory is given that S-closed property is opened genetic property. |
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| Keywords: | S-closed space S-closed subset opened genetic property closed keeping intersection property |
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