| 度量空间的紧覆盖s映射 |
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| 引用本文： | 燕鹏飞,林寿.度量空间的紧覆盖s映射[J].数学学报,1999,42(2):241-244. |
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| 作者姓名： | 燕鹏飞 林寿 |
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| 作者单位： | 1. 安徽大学数学系,合肥,230039
2. 福建宁德师范高等专科学校数学系,宁德,352100 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金 |
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| 摘 要： | 本文引入了紧有限分解网的概念，给出度量空间的紧覆盖s象的内在刻画并由此导出度量空间s映射的系列结论，部分地回答了Michael-Nagami问题.
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| 关 键 词： | 点可数覆盖 紧有限分解网 度量空间 紧覆盖映射 s映射 |
| 修稿时间： | :1998-03-0 |
The Compact-covering s-mappings on Metric Spaces |
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| Yan Pengfei,Lin Shou.The Compact-covering s-mappings on Metric Spaces[J].Acta Mathematica Sinica,1999,42(2):241-244. |
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| Authors: | Yan Pengfei Lin Shou |
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| Institution: | Yan Pengfei;(Department Of Mathematics,Anhui University,Hefei 230039, P. R. China)Lin Shou;(Department of Mathematics,Fujian Ningde Teachers 'College, Ningde 352100, P. R. China) |
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| Abstract: | In this paper, the authors introduce the concept of compact-finite-partitionnetworks and give the characterization of the compact-covering s-images of metricspaces, many well-known results about s-mappings on metric spaces are direct corolcorollaries by the characterization, and the Michael-Nagamis problem has been partially answered. |
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| Keywords: | Point-countable cover Compact-finite-partition network Metric space Compact-covering mapping s-mapping |
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