摘要
引入了基-可数亚紧空间的概念,通过研究基-可数亚紧空间与其子空间之间的关系,得出了基-正规的可数亚紧空间是基-可数亚紧空间,并且在既开又闭的有限到一的映射下,证明了基-可数紧具有保持性.
The notion of base-countable metacompact space is introduced through researching the relation between base-countable metacompact space and its subspace.From the research,it draws the conclusion that base-normal countable metacompact space is base-countable metacompact space,and it proves that open-closed finite-to-1 map preserves base-countable metacompactness.
出处
《广东工业大学学报》
CAS
2012年第1期67-68,共2页
Journal of Guangdong University of Technology
基金
肇庆工商学院科研基金资助项目(1011GK43)
关键词
可数亚紧空间
基-可数亚紧空间
相对于X的基-可数亚紧空间
基-正规
countable metacompact space
base-countable metacompact space
base-countable metacompact space relative to X
base-normality
