| 拟连续Domain的特征与浓度 |
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| 引用本文： | 张月玲,汪开云.拟连续Domain的特征与浓度[J].陕西师范大学学报,2010(1). |
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| 作者姓名： | 张月玲 汪开云 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10871121) |
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| 摘 要： | 在定向完备偏序集(即Dcpo)上引入局部拟基和稠密子集族的概念,在此基础上定义了拟连续Domain的特征和浓度.利用局部拟基给出拟连续Domain新的等价刻画,并探讨了拟连续Domain的特征、浓度与该拟连续Domain上赋予Scott拓扑或Lawson拓扑时的拓扑空间的特征、浓度之间的关系.证明了拟连续Domain的特征(浓度)等于其上赋予Scott拓扑时的拓扑空间的特征(浓度),且小于等于其上赋予Lawson拓扑时的拓扑空间的特征(浓度).
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| 关 键 词： | 拟连续Domain 局部拟基 浓度 Scott拓扑 Lawson拓扑 |
Character and density of quasicontinuous domains |
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| Abstract: | The concepts of local quasi-bases and dense family on directed complete posets are introduced,and the character and density of a quasicontinuous Domain are defined.Using local quasi-bases,a new equivalent characterization of quasicontinuous Domain is obtained.Relations between the character and the density of a quasicontinuous Domain and those on the related spaces with Scott topology or Lawson topology are discussed.It proved that the character and density of a quasicontinuous Domain are respectively equal... |
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| Keywords: | quasicontinuous Domain local quasi-base density Scott topology Lawson topology |
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