L-拓扑空间中的γ-紧性  

γ-compactness in L-topological spaces

作　　者：闫彪[1] 何春花[1] 孟广武[1] 孟晗[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《山东大学学报（理学版）》2007年第12期99-103,共5页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(Y2003A01)

摘　　要：在L-拓扑空间中引入了γ-开L-集,并利用它们的不等式给出了γ-紧性的定义,这里L是完备的DeMorgan代数。这种定义既不依赖于L的结构也不要求L是完全分配的。它也能够借助于γ-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γ-紧性的更深层特征。In L-topological spaces, γ-open L-sets were introduced and the definition of γ-compactness was presented by inequality, where L was a complete DeMorgan algebra. This definition does not rely on the structure of basic lattice L and no distributivity was required in L. It was characterized by means of γ- closed L-sets and their inequality. The further characterizations of γ-compactness were discussed when L is a completely distributive DeMorgan algebra.

关 键 词：L-拓扑 γ-开L-集 γ-紧性 

分 类 号：O189[理学—数学]