诱导L-smooth拓扑空间  

Induced L-smooth topological space

作　　者：胡晓楠[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《山东大学学报（理学版）》2008年第8期65-68,共4页Journal of Shandong University(Natural Science)

基　　金：山东省软科学资助项目(B2005049)

摘　　要：引入L-fuzzifying拓扑空间及生成L-smooth拓扑空间的概念,研究了-Lfuzzifying拓扑空间(X,τ)与其相应的生成-Lsmooth拓扑空间(LX,ω(τ))的关系;介绍了ω算子及其运算性质;给出并研究了L-smooth诱导空间,L-smooth弱诱导空间,L-smooth满层空间的定义和它们之间的联系。The concepts of L-fuzzifying topological space and generated L-smooth topological space were introduced, the connection between （ X, τ） and its corresponding generated space （ L^X, ω （τ ） ） was studyed. Also, the properties of operators ω and the concepts of induced L-smooth topological space, weakly induced L-smooth topological space and stratified L-smooth topological space were given.

关 键 词：L-fuzzifying拓扑 L-smooth拓扑 L-smooth诱导拓扑空间 L-smooth弱诱导拓扑空间 L-smooth满层空间 

分 类 号：O189.13[理学—数学]