L-拓扑空间中的可数PS-紧性及PS-Lindelf性质  

Countable PS-compactness and PS-Lindelf Property 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：《鲁东大学学报（自然科学版）》2007年第4期289-292,共4页Journal of Ludong University:Natural Science Edition

基　　金：山东省自然科学基金(Y2003A01)

摘　　要：在L-拓扑空间中借助于准半开L-集及其不等式给出了可数PS-紧性和PS-Lindelf性质的新定义,这里L是完备的DeMorgan代数.同时认为可数PS-紧性和PS-Lindelf性质也能够借助于准半闭L-集及其不等式刻画.当L是完全分配的DeMorgan代数时,给出了可数PS-紧性和PS-Lindelf性质的更深层特征.A new definition of PS-compactness and PS-Lindelf property is presented in L-topological spaces by means of pre-semiopen L-sets and their inequality,where L is a complete DeMorgan algebra.The new definition can also be characterized by means of pre-semiclosed L-sets and their inequality.When L is a completely distributive DeMorgan algebra,the futher characterizations of countable PS-compactness and PS-Lindelf property are given.

关 键 词：L-拓扑 准半开L-集 可数PS-紧性 PS-Lindelf性质 

分 类 号：O189.11[理学—数学]