| 局部可数弱基空间的性质 |
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| 引用本文： | 刘贵方.局部可数弱基空间的性质[J].湖南城市学院学报(自然科学版),2006,15(1):38-41. |
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| 作者姓名： | 刘贵方 |
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| 作者单位： | 湖南城市学院,数学与计算科学系,湖南,益阳,413049 |
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| 摘 要： | 研究了局部可数弱基空间与局部可分度量空间之间的关系，论证了具有局部可数弱基的空间是g-可度量空间，1-序列覆盖ss-映射仍具有局部可数弱基的性质．
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| 关 键 词： | 弱基 g-可度量空间 紧覆盖映射 序列覆盖映射 |
| 文章编号： | 1672-7304（2006）01-0038-04 |
| 收稿时间： | 2005-08-25 |
| 修稿时间： | 2005-08-25 |
A Note on Spaces with Locally Countable Weak-bases |
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| LIU Gui-fang.A Note on Spaces with Locally Countable Weak-bases[J].Journal of Hunan City University:Natural Science,2006,15(1):38-41. |
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| Authors: | LIU Gui-fang |
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| Institution: | Department of Mathematics, Hunan City University, Yiyang, Hunan 413049, China |
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| Abstract: | In this paper, firstly we establish the relationships between spaces with a locally countable weak-base and locally separable metric spaces by means of compact-covering maps, secondly we show that a regular space with a locally countable weak-base is g -metrizable. Thirdly, we show that 1-sequence-covering, quotient, ss-maps preserve spaces with a locally countable weak base. |
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| Keywords: | Weak-bases compact-covering maps sequence-covering maps -metrizable space |
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