| 偏序集中的下收敛与Lawson拓扑 |
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| 引用本文： | 李高林,徐罗山.偏序集中的下收敛与Lawson拓扑[J].扬州大学学报(自然科学版),2012(1):9-12. |
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| 作者姓名： | 李高林 徐罗山 |
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| 作者单位： | 扬州大学数学科学学院;盐城师范学院数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(61074129,61103018,11101352);江苏省自然科学基金资助项目(BK2010313,BK2011442);国家重点实验室开放课题(SKLSDE-2011KF-08);盐城师范学院资助项目(11YCKL001,11YSYJB0202) |
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| 摘 要： | 在偏序集中引入下极限的概念,利用下极限定义下收敛,讨论下收敛类所生成拓扑的若干性质,利用下收敛(类)刻画连续偏序集的Lawson拓扑以及交连续偏序集的连续性.
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| 关 键 词： | 偏序集 下极限 下收敛 Lawson拓扑 |
Lower-convergence and Lawson topology on posets |
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| LI Gao-lin,XU Luo-shan.Lower-convergence and Lawson topology on posets[J].Journal of Yangzhou University(Natural Science Edition),2012(1):9-12. |
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| Authors: | LI Gao-lin XU Luo-shan |
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| Institution: | 1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China; 2.Sch of Math Sci,Yancheng Teachers’ Coll,Yancheng 224002,China) |
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| Abstract: | In this paper,the concept of a lower-limit is introduced for a poset.By this concept,the notion of lower-convergence is given.Some properties of the topology generated by lower-convergence are obtained.In terms of the lower-convergence,the Lawson topology of a continuous poset and the continuity of a meet-continuous poset are both characterized. |
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| Keywords: | posets lower limits lower-convergence Lawson topology |
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