| 范畴FPTOP和L-FPTOP的拓扑性 |
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| 引用本文： | 安军龙.范畴FPTOP和L-FPTOP的拓扑性[J].西安文理学院学报,2010(4):5-8. |
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| 作者姓名： | 安军龙 |
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| 作者单位： | [1]西安文理学院数学系,陕西西安710065 [2]陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 基金项目： | 国家自然科学基金资助项目（10871121） |
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| 摘 要： | 设FPTOP是模糊化预拓扑空间及F-连续映射的范畴,L-FPTOP是L-fuzzy预拓扑空间及LF-连续映射的范畴,是集合及映射的范畴,文中证明了FPTOP和L-FPTOP都是Set上的拓扑范畴.
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| 关 键 词： | 模糊化预拓扑空间 L-fuzzy预拓扑空间 F-连续映射 LF-连续映射 拓扑范畴 |
Topological Properties of Categories FPTOP and L-FPTOP |
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| AN Jun-long.Topological Properties of Categories FPTOP and L-FPTOP[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2010(4):5-8. |
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| Authors: | AN Jun-long |
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| Institution: | AN Jun-long(1.Department of Mathematics,Xi＇an University of Arts and Science,Xi＇an 710065,China;2.College of Mathematics and Information Science,Shaanxi Normal University,Xi＇an 710062,China) |
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| Abstract: | Let FPTOP be the category of fuzzifying pre-topological spaces and F-continuous mappings,L-FPTOP be the category of fuzzy pre-topological spaces and LF-continuous mappings,be the category of sets and mappings.It is proved that both FPTOP and L-FPTOP are topological category on. |
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| Keywords: | Fuzzifying pre-topological spaces fuzzy pre-topological spaces F-continuous mappings LF-continuous mappings topological category |
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