| 闭包运算、内部运算与子集族确定的拓扑何时相同 |
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| 引用本文： | 邓义华.闭包运算、内部运算与子集族确定的拓扑何时相同[J].衡阳师范学院学报,2007,28(6):35-37. |
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| 作者姓名： | 邓义华 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省自然科学基金资助项目(06JJ5001) |
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| 摘 要： | 首先引入了拓扑空间的子集关于某个子基的内部和闭包的定义,然后讨论了它们的一些性质;在此基础上得出了闭包运算、内部运算与子集族确定的拓扑相同的条件。
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| 关 键 词： | 拓扑空间 闭包运算 内部运算 子基 |
| 文章编号： | 1673-0313（2007）06-0035-03 |
| 收稿时间： | 2007-05-30 |
| 修稿时间： | 2007年5月30日 |
When do the Topologies Determined by the Closure Operation, Interior Operation and Subset Family Agree |
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| DENG Yi-hua.When do the Topologies Determined by the Closure Operation, Interior Operation and Subset Family Agree[J].journal of Hengyang Normal University,2007,28(6):35-37. |
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| Authors: | DENG Yi-hua |
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| Institution: | Department of Mathematics, Hengyang Normal University, Hengyang Hunan 421008,China |
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| Abstract: | The definitions of interior and closure of a set about a subbase for a topological space are introduced in this paper,and then some properties of them are discussed;the agreeable condition of the topology determined by the closure operation,interior operation and subsetfamily is gained. |
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| Keywords: | topological space closure operation interior operation subbase |
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