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.
出处
《烟台大学学报（自然科学与工程版）》
CAS
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)
