| 强 FS-Poset 若干性质的研究 |
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| 引用本文： | 梁少辉 赵彬. 强 FS-Poset 若干性质的研究[J]. 山东大学学报(理学版), 2009, 44(8): 51-55 |
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| 作者姓名： | 梁少辉 赵彬 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871121) |
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| 摘 要： | 本文给出强FS-Poset的定义,讨论强FS-Poset的一些性质,证明强FS-Poset不但是连续的,而且是Scott紧的。 在强FS-Poset的基础上,给出了强FS-Lattice的概念, 探讨强FS-Lattice的若干性质，用函数空间刻划了强FS-Lattice, 得到了连续格是强FS- Lattice的充要条件。
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| 关 键 词： | 单位逼近 强FS-Poset Scott连续映射 连续格 |
| 收稿时间： | 2008-12-04 |
Resarches on some properties of a strong FS-Poset |
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| LIANG Shao-hui,ZHAO Bin. Resarches on some properties of a strong FS-Poset[J]. Journal of Shandong University, 2009, 44(8): 51-55 |
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| Authors: | LIANG Shao-hui ZHAO Bin |
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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 definition of strong FS-Posets is given.Some properties of strong FS-Posets are discussed,and it is proved that strong FS-Posets not only are continuous,but also are Scott.Based on strong FS-Posets,the concept of strong FS-Lattices is given.Some properties of strong FS-Lattices are studied.Strong FS-Lattices are characteristic of the function space.The sufficient and necessary conditions for a continuous lattice to be a strong FS-Lattice are obtained. |
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| Keywords: | approximate identity strong FS-Poset scott continuous map continuous lattice |
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