Z-连通连续偏序集的特征和浓度  

Character and Density on Z-connected Continuous Posets

作　　者：阮小军[1] 徐刚[1] 吴昌平[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《模糊系统与数学》2013年第2期73-77,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61175127;10861007;112012);江西省自然科学基金资助项目(2010GZS0151;2010GQS0139);江西省教育厅青年科学基金资助项目(GJJ12163;GJJ10086;GJJ12093)

摘　　要：引入了Z-连通连续偏序集的局部基和稠密子集的概念,给出了局部基的一些刻画,在此基础上定义了Z-连通连续偏序集的特征和浓度。证明了Z-连通连续偏序集的特征和浓度与Z-连通连续偏序集带上Scott拓扑时的拓扑空间的特征和浓度相等,它们分别小于Z-连通连续偏序集带上Lawson拓扑时拓扑空间的特征、浓度。The definitions of local basis, dense set, character and density on Z-connected continuous posets are given, and then some characteristic theorems are obtained. Finally, we get the main results, that is the character and density on Z-connected continuous poset and those on the related space with Scott topology are consistent, less than that of the related space with Lawson topology respectively.

关 键 词：Z-连通连续偏序集 局部基 特征 浓度 Z-连通Scott拓扑 Z-连通Lawson拓扑 

分 类 号：O153[理学—数学]