| 一致结构的单子及其应用 |
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| 引用本文： | 陈东立.一致结构的单子及其应用[J].纯粹数学与应用数学,2001,17(2):133-137. |
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| 作者姓名： | 陈东立 |
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| 作者单位： | 西安建筑科技大学理学院, |
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| 基金项目： | 陕西省教育厅资助项目;00JK207; |
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| 摘 要： | 讨论了乘积一致结构的单子的刻画 .利用一致结构的单子给出了 Cauchy网及含小集集族的非标准特征 .作为应用给出一致空间几个重要定理的离散化证明 .
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| 关 键 词： | 一致结构的单子 扩大 Cauchy网 含小集的集族 |
| 文章编号： | 1008-5513(2001)02-0133-05 |
| 修稿时间： | 1999年9月2日 |
The monad of the uniform structure and its applications |
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| CHEN Dong-li.The monad of the uniform structure and its applications[J].Pure and Applied Mathematics,2001,17(2):133-137. |
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| Authors: | CHEN Dong-li |
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| Abstract: | The monad of the product uniform structure is discussed.The nonstandard characteristic of Cauchy net and the family of sets including small sets are presented by the monad of the uniform structure.As applications,some important theorems about uniform space are provd by the results above. |
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| Keywords: | the monad of the uniform structure enlargment Cauchy net the family of sets including small sets |
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