| 连续Domain的一个刻划 |
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| 引用本文： | 周立涛.连续Domain的一个刻划[J].南京气象学院学报,2004,27(1):128-130. |
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| 作者姓名： | 周立涛 |
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| 作者单位： | 南京气象学院,数学系,江苏,南京,210044 |
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| 基金项目： | 江苏省教育厅自然科学研究指导性计划项目(01KJD110002) |
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| 摘 要： | 弱逼近元在完备格中有许多重要的性质，对于刻划连续格、完全分配格起着重要的作用。在Domain中引入弱逼近元的概念，研究了弱逼近元的一个重要性质，从而得到连续Domain的一个充要条件。最后，以Scott开滤子为基础，得到了连续Domain的一个刻划定理。
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| 关 键 词： | Domain 拓扑学 数学结构 Scott开滤子 弱逼近元 模糊数学 |
| 文章编号： | 1000-2022(2004)01-0128-03 |
A Characterization of Continuous Domains |
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| ZHOU Li-tao.A Characterization of Continuous Domains[J].Journal of Nanjing Institute of Meteorology,2004,27(1):128-130. |
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| Authors: | ZHOU Li-tao |
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| Abstract: | The weak approximating elements of complete lattices have a few significant properties,and play an important role in the characterizations of continuous lattices and completely distributive lattices.In this paper,the concept of weak approximating elements is introduced and an important property of weak approximating elements is studied,then a sufficient condition of continuous domain is obtained.At last,a characterization of continuous domains is given by means of the Scott open filters. |
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| Keywords: | domain dcpo weak approximating element |
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