| 关于纤维一般拓扑的一点注记(英文) |
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| 引用本文： | 彭良雪.关于纤维一般拓扑的一点注记(英文)[J].东北数学,2008,24(4):329-336. |
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| 作者姓名： | 彭良雪 |
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| 作者单位： | College of Applied Science;Beijing University of Technology;Beijing;100124; |
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| 基金项目： | The Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality. |
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| 摘 要： | Some characterizations of paracompact maps are given in this note, and some equivalent statements of collectionwise normal maps are discussed. And also we show that if f ： X→Y is a closed collectionwise normal map, and f^-1（y） is a semistratifiable subspace of X for any y ∈ Y, then f is a paracompact map.
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| 关 键 词： | 纤维一般拓扑 注记 拓扑学 数学分析 |
A Note on Fibrewise General Topology |
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| PENG Liang-xue College of Applied Science,Beijing University of Technology,Beijing.A Note on Fibrewise General Topology[J].Northeastern Mathematical Journal,2008,24(4):329-336. |
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| Authors: | PENG Liang-xue College of Applied Science Beijing University of Technology Beijing |
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| Institution: | College of Applied Science, Beijing University of Technology, Beijing, 100124 |
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| Abstract: | Some characterizations of paracompact maps are given in this note,and some equivalent statements of collectionwise normal maps are discussed.And also we show that if f:X→Y. is a closed collectionwise normal map,and f-1(y)is a semistratitlable subspace of X for any y∈Y,then f is a paracompact map. |
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| Keywords: | paracompact map collectionwise normal map semistratifmble space |
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