| 完备格上S拓-扑的紧性与分离性 |
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| 引用本文： | 范勇.完备格上S拓-扑的紧性与分离性[J].南京工业职业技术学院学报,2011,11(4):35-37. |
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| 作者姓名： | 范勇 |
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| 作者单位： | 南京工业职业技术学院人文与数理系,江苏南京,210046 |
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| 摘 要： | 在完备格上引入S拓-扑,讨论了它的一些基本性质以及S拓-扑与Scott拓扑和Lawson拓扑之间的联系和区别,在此基础上证明连续格L上的S拓-扑是一个单调的Hausdorff零维正规空间,它是局部紧的sober空间但不是紧空间。
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| 关 键 词： | S拓-扑 S连-续 零维空间 局部紧 sober空间 |
Compactness and Separability of S-topology on Complete Lattice |
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| FAN Yong.Compactness and Separability of S-topology on Complete Lattice[J].Journal of Nanjing Institute of Industry Technology,2011,11(4):35-37. |
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| Authors: | FAN Yong |
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| Affiliation: | FAN Yong ( Nanjing Institute of Industry Technology, Nanjing 210046, China) |
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| Abstract: | This paper introduces Scott topology into complete lattice, studies some basic properties of S-topology and discusses the rela- tion between S-topology and Scott topology and Lawson topology. Based the above-mentioned, the paper proves that S-topology on a con- tinuous lattice L is monotone Hausdorff zero- dimensional normal space, which is a sober space, locally compact but not compact in gen- eral. |
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| Keywords: | S-topology S-continuous zero dimensional space locally compact sober space |
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