| 罗宾逊序列引理的推广及其应用 |
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| 引用本文： | 陈东立,马春晖,卢志义. 罗宾逊序列引理的推广及其应用[J]. 数学季刊, 2007, 22(3): 471-474 |
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| 作者姓名： | 陈东立 马春晖 卢志义 |
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| 作者单位： | [1]School of Science, Xi＇an University of Architecture and Technology, Xi＇an 710055, China [2]School of Statistics, Tianjin University of Finance and Economics, Tianjin 300222, China |
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| 基金项目： | Supported by the Basic Research Foundation of Xi＇an University Architecture Technology（JC0620）; Supported by the Youth Science and Technology Foundation of Xi＇an University of Architecture and Technology（QN0736） |
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| 摘 要： | A. Robinson＇s sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^＊R is its corollary. As its application, the paper proves a property about topology of uniform convergence.
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| 关 键 词： | 罗宾逊序列引理 应用 一致收敛 一般拓扑空间 |
| 文章编号： | 1002-0462（2007）03-0471-04 |
| 收稿时间： | 2004-11-23 |
| 修稿时间： | 2004-11-23 |
The Extension of Robinson''''s Sequential Lemma and Its Application |
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| CHEN Dong-li,MA Chun-hui,LU Zhi-yi. The Extension of Robinson''''s Sequential Lemma and Its Application[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 471-474 |
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| Authors: | CHEN Dong-li MA Chun-hui LU Zhi-yi |
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| Abstract: | A. Robinson's sequential lemma is extended to nets in general topological space,and obviously the case of nets in *R is its corollary. As its application, the paper proves a property about topology of uniform convergence. |
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| Keywords: | Robinson's sequential lemma monad monad of uniformity topology of uniform convergence |
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