| 具有局部可数弱基的空间的一个注记 |
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| 引用本文： | 刘贵方.具有局部可数弱基的空间的一个注记[J].湖南工业大学学报,2005,19(6). |
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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： | 通过建立具有局部可数弱基的空间与局部可分度量空间之间的关系,证明了具有局部可数弱基的空间是g-可度量空间,1-序列复盖商ss-映射保持具有局部可数弱基的空间.
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| 关 键 词： | 弱基 sn-网 紧复盖映射 1-序列复盖映射 ss-映射 π-映射 π -maps |
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 Hnnnan University of Technology,2005,19(6). |
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| Authors: | LIU Gui-fang |
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| Abstract: | It is verified that a regular space with a locally countable weak-base is -metrizable. The relationships are established between spaces with a locally countable weak-base and locally separable metric spaces by means of compact-covering maps, 1-sequence-covering maps, π -maps and ss-maps. It is also verified that 1-sequence-covering, quotient, -maps preserve spaces with a locally countable weak base. |
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| Keywords: | weak-bases sn-networks compact-covering maps 1-sequence-covering maps ssmaps |
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