| 拓扑空间的内部运算 |
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| 引用本文： | 苏淑华,王琦.拓扑空间的内部运算[J].数学的实践与认识,2010,40(2). |
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| 作者姓名： | 苏淑华 王琦 |
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| 作者单位： | 东华理工大学,数学与信息科学学院,江西,抚州,344000 |
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| 摘 要： | 讨论了拓扑空间上内部运算的性质,并对满足内部运算前三条性质的一类运算,引入一种等价关系,将这些运算进行等价分类,证明了每个等价类中的所有运算导出同一个拓扑,并进一步证明了每个等价类中仅有一个是内部运算且是等价类中的最小元.
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| 关 键 词： | 拓扑空间 内部 内部运算 |
The Interior Operation of Topological Space |
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| SU Shu-hua,WANG Qi.The Interior Operation of Topological Space[J].Mathematics in Practice and Theory,2010,40(2). |
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| Authors: | SU Shu-hua WANG Qi |
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| Institution: | SU Shu-hua,WANG Qi (Faculty of Mathematics , Information Science,East China Institute of Technology,Fuzhou 344000,China) |
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| Abstract: | The properties of interior operation in topological space are discussed,and an equivalent relation which classifies the operation satisfying the first three properties is introduced.It is proved that the same topology is derived for all operations in each equivalent class.Further proves that there is only one interior operation that is the minimum element in each equivalent class. |
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| Keywords: | topological space interior interior operation |
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