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.
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。