L-拓扑空间的相对α-紧性  

Relativeα-Compactness in L-Topological Spaces

作　　者：韩红霞[1] 孟广武[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《数学的实践与认识》2010年第21期163-166,共4页Mathematics in Practice and Theory

基　　金：山东省自然科学基金(Y2003A01)

摘　　要：研究了L-拓扑空间的相对α-紧集.基于α-紧性,在L-拓扑空间中引入相对α-紧性的概念,得到了它的一些性质,如它是L-好的推广,对α-闭子集遗传,被α-irresolute的广义Zadeh型函数所保持等.The relativeα-compactness of L-topological spaces is discussed.Based on theα-compact sets,the notion of relativeα-compactness is introduced in L-topological spaces, and some of its properties are obtained,such as that it is an L-good extension,hereditary with respect toα-closed subsets,and that it is preserved byα-irresolutely generalized Zadeh functions.

关 键 词：L-拓扑空间 α-开集 相对α-紧性 

分 类 号：O189.11[理学—数学]