| 紧致性与可数紧致性的一种刻画 |
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| 引用本文： | 赵树魁,周景新. 紧致性与可数紧致性的一种刻画[J]. 河北科技大学学报, 2007, 28(1): 11-13 |
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| 作者姓名： | 赵树魁 周景新 |
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| 作者单位： | 吉林化工学院数理系,吉林吉林,132022;北华大学理学院,吉林吉林,132013 |
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| 摘 要： | 在认真研究和讨论紧致性空间本质特征和几种覆盖性质的基础上,给出了几个新的加细概念,从而给出了紧致性空间和可数紧致性空间的一些新的刻画;进一步讨论了紧致的T6空间,获得了T6空间的紧致性可以用函数开覆盖(补零覆盖)刻画等一系列结果。
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| 关 键 词： | 紧致性 可数紧致性 点星型加细 |
| 文章编号： | 1008-1542（2007）01-0011-03 |
| 收稿时间： | 2006-07-06 |
| 修稿时间： | 2006-07-06 |
Equal curvature of compactness and countable compactness |
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| ZHAO Shu-kui and ZHOU Jing-xin. Equal curvature of compactness and countable compactness[J]. Journal of Hebei University of Science and Technology, 2007, 28(1): 11-13 |
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| Authors: | ZHAO Shu-kui and ZHOU Jing-xin |
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| Affiliation: | 1. Department of Mathematics, Jilin Institute of Chemical Technology, Jilin Jilin 132022, China; 2. Department of Mathematics, Beihua University,Jilin Jilin 132013,China |
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| Abstract: | Following the discussion of the essential characteristics of compact space and the quality of several kinds of coverings,we put forward several new definitions of refinement.Then we give some new curvatures of compact space and countable compact space.We further discuss the compactive T6 space,and obtain a number of results such as that compactness may be curved by Function open covering(complement null covering). |
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| Keywords: | compactness countable compactness point star refinement |
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