诱导L-smooth拓扑空间

Induced L-smooth topological space

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.