L-拓扑空间中的δ-紧性  

δ-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：《烟台大学学报（自然科学与工程版）》2008年第4期244-246,共3页Journal of Yantai University(Natural Science and Engineering Edition)

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δ-开L-集和它们的不等式给出了δ-紧性的定义,这里L是完备的De Morgan代数.并且给出它们的a-shading和a-远域族式刻画.建立了δ-紧性与F-紧性之间的关系,讨论了它们的性质.当L为完全分配的De Morgan代数时,给出δ-紧性的等价刻画,并证明它们是L-好的推广.A notion called δ-compactness is presented in L-topological spaces by means of δ-open L-sets and their inequality , where L is a complete De Morgan algebra. And their other characterizations are given by means of an α-shading and an α-remote family. Also, the relation between δ-compactness and F-compactness is studied. Finally, when L is completely distributive compactness are given, and it is shown that they are De Morgan algebra, the equivalent characterizations of δ- L-good extension.

关 键 词：L-拓扑 δ-开L-集 δ-紧性 

分 类 号：O189[理学—数学]