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范畴FPTOP和L-FPTOP的拓扑性

Topological Properties of Categories FPTOP and L-FPTOP
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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. 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.
作者 安军龙
出处 《西安文理学院学报(自然科学版)》 2010年第4期5-8,共4页 Journal of Xi’an University(Natural Science Edition)
基金 国家自然科学基金资助项目(10871121)
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 Fuzzifying pre-topological spaces fuzzy pre-topological spaces F-continuous mappings LF-continuous mappings topological category
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参考文献5

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二级参考文献5

  • 1Adamek J,Herrlich H,Strecker G E.Abstract and Con-crete Categories[M].New York:John Wiley & Sons,1990. 被引量:1
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