| 具有σ点有限cfp网的空间 |
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| 引用本文： | 蔡长勇. 具有σ点有限cfp网的空间[J]. 数学杂志, 2007, 27(5): 503-506 |
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| 作者姓名： | 蔡长勇 |
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| 作者单位： | 广西师范学院数学与计算机科学系,广西南宁,530004 |
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| 基金项目： | Youth Science Research Foundation of Guangxi Teachers College .Acknowledgement： The author would like to express gratitude to Professor Jinjin Li, Professor Shou Lin for their direction, and the referee of the paper for his suggestion. |
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| 摘 要： | 本文研究了度量空间的象,引进诱导紧覆盖弱紧映射,建立了具有σ点有限cfp网的空间与度量空间之间的联系,将完善"映射与空间"理论.
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| 关 键 词： | σ点有限 cfp网 诱导紧覆盖弱紧映射 度量空间 σ-point-finite |
| 文章编号： | 0255-7797（2007）05-0503-04 |
| 修稿时间： | 2004-12-102005-04-08 |
SPACES WITH A σ-POINT-FINITE cfp-NETWORK |
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| CAI Zhang-yong. SPACES WITH A σ-POINT-FINITE cfp-NETWORK[J]. Journal of Mathematics, 2007, 27(5): 503-506 |
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| Authors: | CAI Zhang-yong |
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| Affiliation: | Dept. of Math. and Computer Science, Guangxi Teachers College, Nanning 530004, China |
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| Abstract: | In this paper, we continue to discuss the images of metric spaces. By means of the concept of inductively compact-covering and weakly compact mappings introduced, we establish the relationship between spaces with a σ-point-finite cfp-network and metric spaces. Thus make the theory on Mappings and Spaces complete. |
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| Keywords: | cfp-networks inductively compact-covering and weakly compact mappings metric spaces |
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