广义L-拓扑空间的可数仿紧性  

Countably paracompactness in generalized L-topological spaces

作　　者：张敏 王小霞[1] 刘媛媛 ZHANG Min;WANG Xiaoxia;LIU Yuanyuan(College of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北大学学报（自然科学版）》2023年第2期301-304,共4页Journal of Hubei University：Natural Science

基　　金：陕西省自然科学基础研究计划项目(2018JM1042);2020年延安大学大学生创新创业训练项目(S202010719004);2021年延安大学研究生教育创新计划项目(YCX2021058)资助。

摘　　要：将L-拓扑空间中的可数仿紧性引入到广义L-拓扑空间中,研究广义L-拓扑空间中的广义可数仿紧性.基于α-远域族、α-局部有限等概念,利用类比和分析的方法,给出广义L-拓扑空间中广义可数仿紧集的概念,研究其基本性质.并证明了广义可数仿紧性具有闭遗传性、弱拓扑不变性等性质,该研究为广义L-拓扑空间的相关理论研究提供一定的参考.We discussed the countably paracompactness of the generalized L-topological spaces by introducing the countably paracompactness of the L-topological space into the generalized L-topological spaces.Based on theα-neighborhood family andα-locally finite,it was focused on the definition of generalized countably paracompactness set of the generalized L-topological spaces,using the analogical and analytical,its properties were studied.The results show that generalized countably paracompactness is closed hereditary and it’s weakly topological properties.These results can provide a reference of the study of generalize L-topological spaces.

关 键 词：广义L-拓扑空间 可数α-远域族 α-局部有限 广义可数仿紧集 

分 类 号：O189.11[理学—数学]