| 局部可分度量空间序列商映象 |
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| 引用本文： | 杨海蓉.局部可分度量空间序列商映象[J].安徽教育学院学报,2009(3):10-11. |
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| 作者姓名： | 杨海蓉 |
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| 作者单位： | 合肥师范学院数学系,安徽合肥,230061 |
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| 基金项目： | 安徽省教育厅青年教师资助项目 |
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| 摘 要： | 文章利用加细的概念给出了局部可分度量空间的π象的一种刻画，证明了空间是局部可分空间的序列覆盖π象当且仅当X具有可数纤维的cs加细构成的点星网。
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| 关 键 词： | 局部可分度量空间 序列覆盖映射 π映射 加细 cs(cs*)加细 点星网 |
Sequentially Quotient Images of Locally Separable Metric Spaces |
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| YANG Hai-rong.Sequentially Quotient Images of Locally Separable Metric Spaces[J].Journal of Anhui Institute of Education,2009(3):10-11. |
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| Authors: | YANG Hai-rong |
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| Institution: | Department of Mathematics;Hefei Teachers College;Hefei 230069;China |
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| Abstract: | In this paper, we use the notion of refinement to describe the sequentially quotient and sequentially covering images of locally separable metric spaces. We proved that a space X is a sequentially quotient（sequentially covering） π images of locally separable metric spaces if X has a point-star network which is a countable refinement and cs（cs＊ ） refinement. |
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| Keywords: | locally separable metric space sequentially quotient mapping sequentially covering mapping π mapping cs（cs＊ ） refinement point-star network |
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