关于D-空间  

ON D-SPACES

作　　者：李克典[1] 郝建丽[2] 

机构地区：[1]漳州师范学院数学与信息科学系,福建漳州363000 [2]商丘师范学院数学系,河南商丘476000

出　　处：《数学杂志》2011年第1期86-90,共5页Journal of Mathematics

基　　金：国家自然科学基金资助项目(10571151);福建省自然科学基金资助项目(2006J0228)

摘　　要：本文研究了用邻域对应定义的空间类.利用构造性的方法,证明了有限多个狭义拟仿紧空间的并是aD-空间及λ-半层空间是D-空间,得到了拓扑空间是aD-空间或D-空间的充分条件,一般化了已有的相应结果.In this article, we research the class of spaces defined by a neighborhood assignment for a topological space. By a method of conformation, we show that, if a space X is the union of finitely many strong quasi-paracompact spaces, then X is an aD-space, and every λ-semistratifiable space is a D-space. We obtain the sufficient conditions of a topological space to be an aD-space or a D-space, and generalize several results obtained by Arhangel’skiǐ in [4] and [6].

关 键 词：aD-空间 D-空间 单调正规空间 λ-半层空间 

分 类 号：O189.1[理学—数学]