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| On the Spaces of the Maximal Points |
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Citation： |
LIANG Jihua,LIU Yingming.On the Spaces of the Maximal Points[J].Chinese Annals of Mathematics B,2003,24(3):303~308 |
| Page view： 1245
Net amount： 932 |
Authors： |
LIANG Jihua; LIU Yingming |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19831040), the Doctoral
Programm Foundation of the Ministry of Education of China (No. 2000061019) and the 973 Project by
Science Commission of China. |
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| Abstract： |
For a continuous domain $D$, some
characterizations that the convex powerdomain ${CD}$ is a
domain hull of $\Max({CD})$ is given in terms of compact
subsets of $D$. And in the 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. |
Keywords： |
Convex powerdomain, Maximal points, Hausdorff metric |
Classification： |
54A10, 06B35, 06D99, 68Q55 |
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