| 关于D-空间 |
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| 引用本文： | 李克典,郝建丽.关于D-空间[J].数学杂志,2011,31(1):86-90. |
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| 作者姓名： | 李克典 郝建丽 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金资助项目，福建省自然科学基金资助项目 |
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| 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.
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| 关 键 词： | aD-空间 D-空间 单调正规空间 λ-半层空间 |
ON D-SPACES |
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| LI Ke-dian,HAO Jian-li.ON D-SPACES[J].Journal of Mathematics,2011,31(1):86-90. |
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| Authors: | LI Ke-dian HAO Jian-li |
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| Institution: | LI Ke-dian1,HAO Jian-li2 (1. Dept. of Math. and Information Science,Zhangzhou Normal University,Zhangzhou 363000,China) (2. Dept. of Math.,Shangqiu Normal University,Shangqiu 476000,China) |
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| Abstract: | 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]. |
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| Keywords: | aD-space D-space monotonically normal space λ-semistratifiable space |
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