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On concretely both reflective and coreflective subconstructs of Chang fuzzy topological spaces

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【作者】张德学；

【Author】 ZHANG DexueDepartment of Mathematics, Sichuan University, Chengdu 610064, China (email: dxzhang@scu.edu.cn)

【机构】 Department of Mathematics； Sichuan University Chengdu 610064； China；

【摘要】 <正> In this paper, the concretely both reflective and coreflective subconstructs of the construct CFTS of Chang fuzzy topological spaces are characterized and their relationship to such subconstructs of stratified fuzzy topological spaces is investigated. Properties of a particular such subconstruct of CFTS, the construct of weak fuzzy neighborhood spaces, are discussed in detail. And it is proved that there exists exactly c such subconstructs between the subconstruct of weakly induced spaces and CFTS.更多还原

【Abstract】 In this paper, the concretely both reflective and coreflective subconstructs of the construct CFTS of Chang fuzzy topological spaces are characterized and their relationship to such subconstructs of stratified fuzzy topological spaces is investigated. Properties of a particular such subconstruct of CFTS, the construct of weak fuzzy neighborhood spaces, are discussed in detail. And it is proved that there exists exactly c such subconstructs between the subconstruct of weakly induced spaces and CFTS.更多还原

【关键词】 fuzzy topological space； topological constructs； reflective and coreflective subcon-structs； total fuzzy topology.；
【Key words】 fuzzy topological space； topological constructs； reflective and coreflective subcon-structs； total fuzzy topology.；

【基金】 This work was supported by the National Natural Science Foundation of China,Fok Ying Tung Education foundation and the Science;Technology Foundation of Sichuan Province for Young Scholars.

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2003年01期

【分类号】O189.13
【下载频次】33

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