| ON THE SPACES OF THE MAXIMAL POINTS |
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| 作者姓名： | LIANG Jihu LIU Yingming |
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| 作者单位： | LIANG JIHUA LIU YINGMING Institute of Mathematics，Sichuan University，Chengdu 610064，China. Institute of Mathematics，Sichuan University，Chengdu 610064，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of Chian(No.19831040),the Doctoral Programme Foundation of the Ministry of Education of China(No.2000061019)and the 973 Project by the Science Commission of China. |
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| 摘 要： | For a continuous domain D, some characterization that the convex powerdomain CD is a domain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it is proved that the set of the maximal points Max(CD) of CD with the relative Scott topology is homeomorphic to the set of all Scott compact subsets of Max(.D) with the topology induced by the Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable.
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| 关 键 词： | 凸幂域 极大点 Hausdorff度量 拓扑 Scott开 理想 壳 特征 |
| 收稿时间： | 4/2/2015 12:00:00 AM |
On the Spaces of the Maximal Points |
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| LIANG Jihu,LIU Yingming.ON THE SPACES OF THE MAXIMAL POINTS[J].Chinese Annals of Mathematics,Series B,2003,24(3):303-308. |
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| Authors: | LIANG Jihua and LIU Yingming |
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| Institution: | Institute of Mathematics, Sichuan University, Chengdu 610064, China |
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| Abstract: | For a continuous domain D, some characterization that the convex powerdomain CD is a domain hull of Max(CD) is given in terms of compact subsets of D. And in this case, it is proved that the set of the maximal points Max(CD) of CD with the relative Scott topology is homeomorphic to the set of all Scott compact subsets of Max(.D) with the topology induced by the Hausdorff metric derived from a metric on Max(D) when Max(D) is metrizable. |
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| Keywords: | Convex powerdomain Maximal points Hausdorff metric |
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