| 预拓扑与网族的预收敛类 |
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| 引用本文： | 钟晓静,李生刚,苏华飞. 预拓扑与网族的预收敛类[J]. 山东大学学报(理学版), 2007, 42(8): 62-66 |
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| 作者姓名： | 钟晓静 李生刚 苏华飞 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062;陕西师范大学,数学与信息科学学院,陕西,西安,710062;陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 引入了网族及预收敛类的概念，给出了从T(X)(即X上的预拓扑的全体)到S(X)(即X上的预收敛类的全体)的单射，证明了当X是有限集时该映射是双射.
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| 关 键 词： | 预拓扑 预收敛类 完备格同构 网族 |
| 文章编号： | 1671-9352（2007）08-0062-05 |
| 修稿时间： | 2007-03-19 |
Pre-topologies and pre-convergence classes of family of nets |
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| ZHONG Xiao-jing,LI Sheng-gang,SU Hua-fei. Pre-topologies and pre-convergence classes of family of nets[J]. Journal of Shandong University, 2007, 42(8): 62-66 |
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| Authors: | ZHONG Xiao-jing LI Sheng-gang SU Hua-fei |
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| Affiliation: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China |
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| Abstract: | The notions of family of nets and pre-convergence class are introduced and an injection F from T(X)(the set of all pre-topologies on X) to S(X)(the set of all pre-convergence classes of families of nets) is given.It is proved that F is a bijection if X is a finite set. |
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| Keywords: | pre-topology pre-convergence class complete lattice isomorphism family of nets |
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