在聚点具有σ局部有限网的空间  

The Spaces with a Network Which is σ-locally Finite at Accumulation Points

作　　者：凌学炜 LING Xuewei(School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, Chin)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2018年第2期9-13,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金资助项目(11471153);福建省自然科学基金资助项目(2017J01507);宁德师范学院校级科研经费资助项目(2017T01)

摘　　要：讨论在聚点具有σ局部有限网的空间的性质,通过在聚点集具有的集族性质获得了σ空间,空间和度量空间的新刻画,推广了林福财等关于聚点集族的基性质的一些结果.It discuss that the properties of spaces with a network which is σ-locally finite at accumulation points, and obtain some new characterizations of σ-spaces,-spaces and metric spaces by the properties of collections at accumulation points, which improve some results of Lin Fucai et al. about the properties of spaces with a special base at accumulation points.

关 键 词：聚点 遗传闭包保持集族 σ空间 X空间 度量空间 闭映射 

分 类 号：O189.1[理学—数学]