| 基于导集运算下的空间刻画 |
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| 引用本文： | 吴耀强.基于导集运算下的空间刻画[J].山西师范大学学报,2010(4). |
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| 作者姓名： | 吴耀强 |
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| 作者单位： | 宿迁学院教师教育系; |
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| 基金项目： | 宿迁学院科研基金资助项目(2010KY05) |
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| 摘 要： | 本文首先对点集X给出导集运算的定义,然后利用导集运算引入拟空间、空间以及拓扑空间概念,进一步研究了拟空间、空间以及拓扑空间的一些相关性质,并且得到与导集算子可交换的一一映射是同胚映射,极大地完善了点集拓扑学中有关导集概念的内容.
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| 关 键 词： | 拟空间 空间 拓扑空间 导集运算 保导映射 保闭包映射 同胚 |
Characterizing Theorem of Space by Derived Operator |
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| WU Yao-qiang.Characterizing Theorem of Space by Derived Operator[J].Journal of Shanxi Teachers University,2010(4). |
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| Authors: | WU Yao-qiang |
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| Institution: | WU Yao-qiang(Department of Teachers Education,Suqian College,Suqian 223800,Jiangsu,China) |
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| Abstract: | In this paper the method of Characterizing space in point-set by derived operator is studied.First a new concept of derived operator is defined,then the quasi-space,as well as space and topological space,which is introduced with derived operator.Futhermore the related property of quasi-space,as well as space and topological space is studied.Finally it is proved that one-one mapping which may exchange with the derived operator is a homeomorphism.This work completes the content relative to concept of derived ... |
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| Keywords: | quasi-space space topological space derived operator derived preserving map closure preserving map homeomorphism |
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