| 关于连通空间原像的注记 |
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| 引用本文： | 吴闽江.关于连通空间原像的注记[J].莆田学院学报,2008,15(5). |
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| 作者姓名： | 吴闽江 |
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| 作者单位： | 宁德职业技术学院,福建,福安,355000 |
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| 摘 要： | 刻画出仿紧、局部紧、连通空间的等价性质,并举例说明连通的第一可数空间可以不是仿紧、局部紧、连通空间的连续映像,从而否定了连通的k空间是仿紧、局部紧、连通空间的商空间的说法。
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| 关 键 词： | 连通空间 局部紧空间 仿紧空间 Lindelf空间 k空间 |
A Note on Preimages of Connected Spaces |
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| WU Min-jiang.A Note on Preimages of Connected Spaces[J].journal of putian university,2008,15(5). |
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| Authors: | WU Min-jiang |
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| Institution: | WU Min-jiang ( Ningde Vocational , Technical College,Fuan Fujian 35500,China ) |
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| Abstract: | In this paper, a characterization of paracompact, locally compact and connected spaces is given, and an example which shows that a connected and first-countable space can not be a continuous image of a paracompact, locally compact and connected space is constructed. Therefore the question is answered negatively. |
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| Keywords: | connected spaces locally compact spaces paracompact spaces LindelOf spaces k-spaces |
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