| 拓扑空间的泛函表示 |
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| 引用本文： | 张兆宁.拓扑空间的泛函表示[J].中国民航学院学报,1994,12(3):88-92. |
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| 作者姓名： | 张兆宁 |
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| 摘 要： | 本文首先指出并非所有的拓扑空间都能用连续函数表示，其次给出了一般拓扑空间的下半连续函数表示，并利用下半连续函数讨论了拓扑空间的一些性质。
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| 关 键 词： | 下半连续函数，下半连续拓扑，函数子基 |
The Functional Representation of Topological Space |
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| Zhang Zhaoning.The Functional Representation of Topological Space[J].Journal of Civil Aviation University of China,1994,12(3):88-92. |
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| Authors: | Zhang Zhaoning |
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| Institution: | Department of Basic Courses |
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| Abstract: | This paper firstly points out that not all of topological spaces can be represented by contiguous functions and secondly shows how topological spaces can be represented by the lower semi-continuous functions, with which some properties of topological spaces are discussed. |
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| Keywords: | lower semi-continuous function lower semi-continuous topological space functional subbase |
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