局部F紧性是L—好的推广  

The Local F-Compactnesses are L-Good Extensions

作　　者：徐剑均[1] 

机构地区：[1]陕西财经学院基础部

出　　处：《纯粹数学与应用数学》1991年第2期120-123,共4页Pure and Applied Mathematics

摘　　要：在文[9]中,作者提出了六种局部F紧性。即定义1 设(L~*,δ)是L-Fuzzy拓扑空间,对任意x_α∈M~※(L~×),设A∈N(x_α),B∈η(x_α)。这里N(x_α)是x_α的全体邻域之集。The paper [9] pressented six kinds of the concept of the localF-compactnesses in L-Fuzzytopological spaces. They have closed hereditary property andfour of themhave opened hereditary property. And they are weak topogical invariant. Thepaper [11] have proved that the strong LFC (=local F--compactness), the star--strongLFC, the LFC and the star LFC have limited product property. And alsothe weak LFCand the star--weak LFC have product-thin limited product property. This paperprovedthat (L^X,w_L(J)) is the strong LFC, the LFC or weak LFC if and only is a discrete lattice, thespace (X,J) is respectively. And when L is a discrete lattice, thespace (L^X,w_L(J)) is thestar--strong LFC. the star LFC or the star-weak LFC if andonly if the space(X, J) isrespectively. In the meaning of Prof. R. Lowen, they are L--good extensions.

关 键 词：局部F紧性 LF拓扑空间 L好 强局部FJ紧性 

分 类 号：O189.1[理学—数学]