| 相通连续Domain的若干特征定理 |
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| 引用本文： | 尚云,赵彬.相通连续Domain的若干特征定理[J].数学研究及应用,2005,25(4):734-738. |
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| 作者姓名： | 尚云 赵彬 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100080
2. 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金(10471083)
高等院校优秀青年教师教学与科研奖励计划(教人司[2000]26号) |
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| 摘 要： | 首先引入了相通连续Domain的概念,利用主理想及连通闭集刻画了相通连续Domain; 其次考察了相通完备偏序集的定向完备化,得到了一些好的结果.
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| 关 键 词： | 相通连续 Domain 连通闭集 定向完备化 |
| 文章编号： | 1000-341X(2005)04-0734-05 |
| 收稿时间： | 03 10 2003 12:00AM |
| 修稿时间： | 2003年3月10日 |
Some Characteristic Theorems on Consistently Connected Continuous Domains |
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| SHANG Yun and ZHAO Bin.Some Characteristic Theorems on Consistently Connected Continuous Domains[J].Journal of Mathematical Research with Applications,2005,25(4):734-738. |
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| Authors: | SHANG Yun and ZHAO Bin |
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| Affiliation: | Academy of Mathematics and System Sciences; Chinese Academy of Sciences; Beijing; China;College of Mathematics and Information Science; Shaanxi Normal University; Xi'an; China |
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| Abstract: | In this paper, we introduce the concepts of consistently connected continuous domains, and obtain some properties of consistently connected continuous domains by using of the principal ideals and the lattice of connected closed sets. Moreover, we give some good properties of directed completions of consistently connected complete posets. |
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| Keywords: | consistently connected continuous domains connected closed sets directed completions |
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