| Locale的弱拓扑表达 |
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| 引用本文： | 贺伟,江守礼.Locale的弱拓扑表达[J].数学学报,2004,47(3):601-606. |
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| 作者姓名： | 贺伟 江守礼 |
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| 作者单位： | 1. 南京师范大学数学系,南京,210097
2. 山东大学数学系,济南,250100 |
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| 基金项目： | 国家自然科学基金(10331010)，国家自然科学基金(10271056) |
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| 摘 要： | 本文引入了弱拓扑空间的概念,证明了locale范畴与弱拓扑空间范畴的关系类似于拓扑空间范畴与locale范畴的关系。locale范畴严格包含于弱拓扑空间范畴并且与Sober的弱拓扑空间范畴等价。
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| 关 键 词： | locale范畴 弱拓扑空间 拓扑空间 |
| 文章编号： | 0583-1431(2004)03-0601-06 |
Weakly Topological Representation of Locales |
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| Wei HE.Weakly Topological Representation of Locales[J].Acta Mathematica Sinica,2004,47(3):601-606. |
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| Authors: | Wei HE |
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| Institution: | Wei HE Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China Shou Li JIANG Department of Mathematics, Shandong University, Jinan 250100, P. R. China |
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| Abstract: | We introduce the concept of weakly topological spaces, and show that the
relationship between the category of locales and the category of weakly topological
spaces is similar to the relationship between the category of topological spaces and
the category of locales. The category of locales is strictly contained in the category of
weakly topological spaces, and is equivalent to the category of sober weakly topological
spaces. |
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| Keywords: | Locale Weakly topological space Topological space |
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