| 局部紧度量空间的闭映象 |
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| 引用本文： | 李招文,李小敏.局部紧度量空间的闭映象[J].长沙交通学院学报,2007,23(3):75-77. |
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| 作者姓名： | 李招文 李小敏 |
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| 作者单位： | 长沙理工大学,数学与计算科学学院,湖南,长沙,410076 |
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| 摘 要： | 借助弱紧k网络,获得了局部紧度量空间闭映象内部特征一个新的刻画,即空间X是局部紧度量空间的闭映象当且仅当X是具有点可数的弱紧k网络的Fr(e)chet空间.
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| 关 键 词： | 局部紧度量空间 闭映射 k网络 弱紧k网络 |
| 文章编号： | 1000-9779（2007）03-0075-03 |
| 收稿时间： | 2007-03-26 |
Closed images of locally compact metric spaces |
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| LI Zhao-wen,LI Xiao-min.Closed images of locally compact metric spaces[J].Journal of Changsha Communications University,2007,23(3):75-77. |
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| Authors: | LI Zhao-wen LI Xiao-min |
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| Institution: | College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China |
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| Abstract: | In this paper, a space with a closed image of a locally compact metric space is obtained if and only if it is a Frechet space with a point-countable weak-compact k-network, it is a new characterization of closed images with locally compact metric spaces by means of weak-compact k-networks. |
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| Keywords: | locally compact metric spaces closed images k-networks weak-compact k-networks |
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