| 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].莆田高等专科学校学报,2008(5):28-29. |
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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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| 基金项目： | 致谢：本文在写作过程中得到林寿教授的帮助.特此致谢. |
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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，从而否定了连通的七空间是仿紧、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 LINDELOF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 College,2008(5):28-29. |
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| Authors: | WU Min-jiang |
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| Institution: | WU Min-jiang (Ningde Vocational and 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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