| 拓扑空间中强半子集的若干问题 |
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| 引用本文： | 薛艳霞,斯钦孟克,宋丽霞.拓扑空间中强半子集的若干问题[J].内蒙古师范大学学报(自然科学版),2007,36(3):265-269. |
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| 作者姓名： | 薛艳霞 斯钦孟克 宋丽霞 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 |
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| 基金项目： | 内蒙古师范大学校科研和教改项目 |
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| 摘 要： | 在拓扑空间中引入强半内部、强半闭包和强半边界等强半子集概念，通过与拓扑子集、半拓扑子集的相关性质进行对比．研究了强半子集的若干性质．对一般拓扑空间中Kuratowski十四集定理进行研究和推理，证明了关于强半子集的两个定理．
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| 关 键 词： | 强半内部 强半闭包 强半边界 |
| 文章编号： | 1001-8735（2007）03-0265-05 |
| 收稿时间： | 2006-09-16 |
| 修稿时间： | 2006-09-16 |
Some Problems of Strong Semi-subset in Topological Spaces |
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| XUE Yan-xia,Siqinmengke,SONG Li-xia.Some Problems of Strong Semi-subset in Topological Spaces[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2007,36(3):265-269. |
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| Authors: | XUE Yan-xia Siqinmengke SONG Li-xia |
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| Institution: | College of Mathematics Science , Inner Mongolia Normal University , Huhhot 010022, China |
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| Abstract: | The concepts,including strong semi-interior,strong semi-closure and strong semi-boundary,were introduced in topological spaces.By comparison of subset and semi-subset,some properties of strong semi-subset were discussed.Two theorems about strong semi-subset were proved through further research and generalization on Kuratowski's 14 Sets Theorem in general topological spaces. |
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| Keywords: | strong semi-interior strong semi-closure strong semi-boundary |
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