| 几种类型局部紧空间及其性质 |
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| 引用本文： | 潘龙,周景新.几种类型局部紧空间及其性质[J].吉林化工学院学报,2008,25(2):89-92. |
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| 作者姓名： | 潘龙 周景新 |
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| 作者单位： | 北华大学,数学学院,吉林,吉林,132013 |
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| 基金项目： | 吉教科字专项（200531） |
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| 摘 要： | 给出了几种类型的局部紧空间：局部可数紧空间，邻域局部紧空间，局部序列紧空间，局部列紧空间，并且研究了它们的拓扑性质，有限可积性，遗传性，得到的主要结果是：局部可数紧和邻域局部紧性是拓扑不变性，有限可积性；局部序列紧是拓扑不变性，同时满足闭可遗传性等一些性质．
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| 关 键 词： | 局部紧 局部可数紧 邻域局部紧 局部序列紧 |
| 文章编号： | 1007-2853(2008)02-0089-04 |
| 修稿时间： | 2008年1月3日 |
Several kinds of locally compact spaces and their natures |
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| PAN Long,ZHOU Jing-xin.Several kinds of locally compact spaces and their natures[J].Journal of Jilin Institute of Chemical Technology,2008,25(2):89-92. |
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| Authors: | PAN Long ZHOU Jing-xin |
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| Affiliation: | (Department of Mathematics,Beihua University,Jilin City 132013, China) |
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| Abstract: | In this article we study some kinds of locally compact space,locally neighbourhood compact space,locally sequent compact space,locally bicompact space and discuss their topological property,hereditary property,finite product property.And we achieve some results:locally countably compactness,locally neighbourhood compactness are topological invariance,finite product property;locally sequent compactness is topological invariance and closed hereditary property. |
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| Keywords: | locally compactness locally countable compactness locally neighbourhood compactness locally sequence compactness |
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