| Domain上的扩张定理 |
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| 引用本文： | 周立涛,王戈平.Domain上的扩张定理[J].徐州师范大学学报(自然科学版),2003,21(4):11-12,15. |
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| 作者姓名： | 周立涛 王戈平 |
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| 作者单位： | 1. 南京气象学院,数学系,江苏,南京,210044
2. 徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 国家自然科学基金资助项目(10371079) |
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| 摘 要： | 对定向极小集进行了进一步的研究，给出了Domain中保定向极小集映射与保定向并和《映射之间的等价刻画及其有关的性质，在此基础上得到了关于保定向极小集映射的两个相应的扩张定理。
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| 关 键 词： | 扩张定理 定向极小集 Domain 定向完备偏序集 基 |
| 文章编号： | 1007-6573(2003)04-0011-02 |
Extension Theorems on Domain |
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| ZHOU Li-tao,WANG Ge-ping.Extension Theorems on Domain[J].Journal of Xuzhou Normal University(Natural Science Edition),2003,21(4):11-12,15. |
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| Authors: | ZHOU Li-tao WANG Ge-ping |
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| Abstract: | In this paper,several characters of the directed minimal sets,the equivalent characterizations of the directed minimal sets and the bases for domains are given. Then the mapping preserving the directed minimal sets is introduced. The equivalent characterizations between the mapping preserving the directed minimal sets and the mapping preserving << and the directed supremum are given,so the two corresponding extension theorems are made. |
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| Keywords: | domain dcpo base directed minimal set |
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