L-拓扑空间的θ-紧性  

θ-compactness in L-topological spaces

作　　者：闫彪[1] 何春花[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《商丘师范学院学报》2008年第9期28-30,共3页Journal of Shangqiu Normal University

基　　金：山东省自然科学基金资助项目(Y2003A01)

摘　　要：在L-拓扑空间中借助于θ-开L-集和它们的不等式给出了θ-紧性的新定义,这里L是完备的DeMorgan代数.它也能够借助于θ-闭L-集和它们的不等式刻画.当L是完全分配的DeMorgan代数时,讨论了θ-紧性的更深层特征.A new definition of θ-compactness is presented in L-topological spaces by means of θ-open L-sets and their inequality,where L is a complete DeMorgan algebra. It can also be characterized by means of θ-closed L-sets and their inequality. When L is a completely distributive DeMorgan algebra, the luther characterizations of θ-compactness and are discussed.

关 键 词：L-拓扑 θ-开L-集 θ-紧性 

分 类 号：O189[理学—数学]