L-拓扑空间中的β-闭性(英文)  

β-Closedness in L-Topological Spaces

作　　者：孟凡友[1] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《模糊系统与数学》2006年第5期15-19,共5页Fuzzy Systems and Mathematics

摘　　要：在L-拓扑空间中借助于β-开L-集合和它们的不等式给出了β-闭性的一种新形式,这里L是完备的DeMorgan代数。它也能够借助于β-闭L-集和它们的不等式刻画。当L是完全分配的DeMorgan代数时,它的许多刻画被给出了。A new form of β-closedness is presented in L-topological spaces by means of β-open L-sets and their inequality, where L is a complete DeMorgan algebra. This new form doesn＇t rely on the structure of the basis lattice L. It can also be characterized by means of β-closed L-sets and their inequality. When L is a completely distributive DeMorgan algebra, its many characterizations are presented.

关 键 词：L-拓扑 β-开L-集 β-紧性 β-闭性 

分 类 号：O189.1[理学—数学]