| 拓扑分子格的S紧化与S次紧化 |
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| 引用本文： | 许兆龙. 拓扑分子格的S紧化与S次紧化[J]. 华东地质学院学报, 2006, 29(1): 92-96 |
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| 作者姓名： | 许兆龙 |
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| 作者单位： | 东华理工学院数学与信息科学学院 江西抚州344000 |
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| 摘 要： | 利用半开元等半拓扑概念引入拓扑分子格的S紧化与S次紧化概念,给出了它们的刻画,推广了王国俊(1990)拓扑分子格的紧化与次紧化概念,得出了拓扑分子格与其最简单点S紧化关于分离性(半分离性)的性质,以及正统拓扑分子格与其最简单点S紧化(S次紧化)关于分离性(半分离性)的性质等。
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| 关 键 词： | 拓扑分子格 S紧化 S次紧化 局部S紧性 局部S次紧性 |
| 文章编号： | 1000-2251(2006)01-092-05 |
| 收稿时间： | 2005-05-12 |
| 修稿时间： | 2005-05-12 |
S-compactification and S-inferior-compactification in Topological Molecular Lattices |
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| XU Zhao-long. S-compactification and S-inferior-compactification in Topological Molecular Lattices[J]. Journal of East China Institute of Technology, 2006, 29(1): 92-96 |
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| Authors: | XU Zhao-long |
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| Affiliation: | Faculty of Mathematics and Information Science , East China Institute of Technology, Fuzhou, JX 344000, China |
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| Abstract: | S-compactification and S-inferior-compactification of topological molecular lattices are introduced by semi-open elements,semi-topological concepts etc in this paper,and characterizations of them are given.Concepts of compactification and inferior-compactification of topological molecular lattices in the first reference document by Wang Guo-Jun are generalized.Properties on separation(semi-separation) of topological molecular lattices and its the simplest simple point s-compactification are given,Properties on separation(semi-separation) of orthodox topological molecular lattices and its the simplest simple point s-compactification(s-inferior-compactification) are given. |
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| Keywords: | topological molecular lattices S-compactification S-inferior-compactification locally S-compactness locally S-inferior-compactness |
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