| 关于非标准扩张和乘积推理闭包空间的注 |
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| 引用本文： | 陈冰,李生刚,杨小飞. 关于非标准扩张和乘积推理闭包空间的注[J]. 纺织高校基础科学学报, 2013, 0(1): 97-100 |
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| 作者姓名： | 陈冰 李生刚 杨小飞 |
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| 作者单位： | 陕西师范大学数学与信息科学学院;西安外事学院医学院;西安工程大学理学院 |
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| 基金项目： | 陕西省自然科学基金资助项目(2010JM1005);陕西省教育厅专项科研计划项目(11JK0484) |
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| 摘 要： | 运用非标准分析的方法，研究了拓扑空间在扩大模型下的分离性，并给出它们的具体刻画．最后证明了推理闭包空间中的一族特殊紧集的乘积是它们的乘积推理闭包空间中的紧集．
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| 关 键 词： | 非标准分析 拓扑空间 分离性 推理闭包空间 紧集的乘积 |
Remarks on non-standard extensions and product reasoning closure spaces |
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| CHEN Bing,LI Sheng-gang,YANG Xiao-fei. Remarks on non-standard extensions and product reasoning closure spaces[J]. Basic Sciences Journal of Textile Universities, 2013, 0(1): 97-100 |
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| Authors: | CHEN Bing LI Sheng-gang YANG Xiao-fei |
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| Affiliation: | 1.College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China;2.School of Medicine,Xi′an International University,Xi′an 710077,China;3.School of Science,Xi′an Polytechnic University,Xi′an 710048,China) |
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| Abstract: | The separated properties of topological spaces under enlarged model are studied by using non-standard analysis method, and their characterizations are given. Finally it is proved that product of a class of special compact sets is a compact set in the product reasoning closure spaces. |
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| Keywords: | non-standard analysis topological space separation reasoning closure space product of compact sets |
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