| 连续Domain的特征与浓度 |
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| 引用本文： | 赵彬,刘妮. 连续Domain的特征与浓度[J]. 陕西师范大学学报(自然科学版), 2002, 30(2): 1-6 |
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| 作者姓名： | 赵彬 刘妮 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062(赵彬)，陕西师范大学数学与信息科学学院 陕西西安710062(刘妮) |
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| 基金项目： | 高等学校优秀青年教师教学科研奖励计划资助项目 (教人司 [2 0 0 0 ]2 6号 )，国家自然科学基金资助项目 (1970 10 2 0 ) |
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| 摘 要： | 引入了连续Domain的局部基和稠密子集的概念，在此基础上定义了连续Domain的特征及浓度，给出了局部基的刻画，并讨论了连续Domain的特征、浓度与连续Domain带上Scott拓扑或Lawson拓扑的拓扑空间的特征、浓度之间的关系。证明了连续Domain的特征、浓度分别与它带上Scott拓扑时的拓扑空间的特征、浓度相等，它们分别小于连续Domain带上Lawson拓扑时的拓扑空间的特征、浓度。
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| 关 键 词： | 连续Domain 局部基 特征 浓度 Scott拓扑 Lawson拓扑 拓扑空间 偏序集 稠密子集 |
| 文章编号： | 1001-3857(2002)02-0001-06 |
| 修稿时间： | 2002-01-24 |
Character and density on continuous Domains |
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| ZHAO Bin,LIU Ni. Character and density on continuous Domains[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2002, 30(2): 1-6 |
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| Authors: | ZHAO Bin LIU Ni |
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| Abstract: | The definitions of local basis, dense set, character and density on continuous Domains are given first, and then some characteristic theorems are obtained. The relations between the character and density on a continuous Domain and that of the related topological space with Scott topology or Lawson topology are discussed. Finally we get the main results, that is, the character and density on a continuous Domain and those on the related space with Scott topology are consistent, less than that of the related space with Lawson topology respectively. |
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| Keywords: | continuous Domain local basis dense set character density Scott topology Lawson topology |
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