| 拓扑空间中的保紧映射 |
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| 引用本文： | 罗嵩龄. 拓扑空间中的保紧映射[J]. 淮北煤炭师范学院学报(自然科学版), 1991, 0(2) |
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| 作者姓名： | 罗嵩龄 |
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| 作者单位： | 汽车管理学院 |
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| 摘 要： | 本文引进了保紧映射的概念,研究了与之有关的一些拓扑性质。主要定理是:对于紧Hausdorff空间,双保紧映射、完全映射与同胚等价。
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| 关 键 词： | 保紧映射 完全映射 单调映射 |
Preserve compactness mapping in topological space |
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| Luo Sungling. Preserve compactness mapping in topological space[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 1991, 0(2) |
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| Authors: | Luo Sungling |
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| Affiliation: | Auto-Management Institute |
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| Abstract: | In this paper, the concept of preserve compactness mapping are in-troduced, and to search some topological properties related to it. Main theorem is bi-preserve compactness mapping, perfect mapping and homeomophism are equavalent for compact Hausdorff space |
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| Keywords: | preserve compactness mapping perfect mapping monotonic mapping. |
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