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基-可数亚紧空间
引用本文:纪广月.基-可数亚紧空间[J].广东工业大学学报,2012(1):67-68.
作者姓名:纪广月
作者单位:肇庆工商学院工商系
基金项目:肇庆工商学院科研基金资助项目(1011GK43)
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.

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

Base-countable Metacompact Space
Ji Guang-yue.Base-countable Metacompact Space[J].Journal of Guangdong University of Technology,2012(1):67-68.
Authors:Ji Guang-yue
Affiliation:Ji Guang-yue(Dept of Industry and Commerce,Zhaoqing College of Industry and Commerce,Zhaoqing 526020,China)
Abstract: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.
Keywords:countable metacompact space  base-countable metacompact space  base-countable metacompact space relative to X  base-normality
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