| 拓扑空间中集合的构造 |
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| 引用本文： | 肖应雄.拓扑空间中集合的构造[J].孝感学院学报,2005,25(6):31-33. |
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| 作者姓名： | 肖应雄 |
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| 作者单位： | 孝感学院,数学系,湖北,孝感,432000 |
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| 摘 要： | 证明了拓扑空间中的任意集合经过取闭包，内部，补集运算至多能产生14个集合。在拓扑空间中任意。个集合经过取，并、交、差运算最多能产生2^2^14-1个集合。
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| 关 键 词： | 拓扑空间 补集 闭包 并集 交集 |
| 文章编号： | 1671-2544（2005）06-0031-03 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2005-10-09 |
Constructing the Sets in Topological Space |
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| XIAO Ying-xiong.Constructing the Sets in Topological Space[J].JOURNAL OF XIAOGAN UNIVERSITY,2005,25(6):31-33. |
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| Authors: | XIAO Ying-xiong |
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| Institution: | Department of Mathematics, Xiaogan University, Xiaogan, Hubei 432000, China |
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| Abstract: | In this paper, it is proved that 14 sets at most can be obtained in topological space by the operation of finding the closure and complement of any set, and 2^2^14-1 sets at most can be obtained by finding the union, intersection and difference of any n sets. |
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| Keywords: | topological space complement set closure union set intersection set |
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