拟连续Domain的拟基及其权  

Quasi-bases and Weights of Quasicontinuous Domains

作　　者：李高林[1] 徐罗山[2] 

机构地区：[1]盐城师范学院数学科学学院,江苏盐城224002 [2]扬州大学数学科学学院,江苏扬州225002

出　　处：《模糊系统与数学》2007年第6期52-56,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(10371106);江苏省教育厅资助项目(FK0310060);盐城师范学院科研项目(07YCKL070)

摘　　要：在定向完备偏序集(即dcpo)上引入了拟基的概念,给出了拟基的若干刻画并在此基础上定义了拟连续Domain的权。探讨了拟连续Domain的权与该拟连续Domain上赋予内蕴拓扑时的拓扑空间的权之间的关系。In this paper, The concept of quasi-bases of quasicontinuous domains is introduced. Based on quasi-bases, the concept of weights of quasicontinuous domains is also given. Some equivalent characterizations of quasi-bases are obtained. Relations between the weights of quasicontinuous domains and that of the related topological spaces with Scott topology or Lawson topology are discussed.

关 键 词：拟连续DOMAIN 拟基 权 SCOTT拓扑 LAWSON拓扑 

分 类 号：O153.1[理学—数学] O189.1[理学—基础数学]