Rudin性质与拟Z-连续Domain  

RUDIN PROPERTY AND QUASI Z-CONTINUOUS DOMAINS

作　　者：徐晓泉[1] 寇辉[1] 黄艳[2] 

机构地区：[1]四川大学数学研究所 [2]哈尔滨工业大学应用数学系,哈尔滨150001

出　　处：《数学年刊（A辑）》2003年第4期483-494,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.19561002;No.19831040;No.10071053);国家数学天元基金(No.TY10126026);江西省主要学科新世纪学术带头人培养基金;江西省自然科学基金

摘　　要：对一般子集系统 Z,引入了 Rudin性质,给出了它的映射式刻划,作为拟连续偏序集和Z-连续偏序集的公共推广,引入了拟Z-连续Domain的概念,讨论了拟Z-连续Domain的基本性质,特别地,给出了 Rudin性质及其映射式刻划在拟 Z-连续Domain方面的若干应用,将关于拟连续偏序集的主要结果推广至了拟 Z-连续 Domain情形。For a general subset system Z, the Rudin property is denned and its characterization in mapping forms are given. As a common generalization of quasicontonuous posets and Z-continuous posets, quasi Z-continous domains are introduced and some basic their properties are investigated. In particular, several applications of the Rudin property and its mapping characterization to quasi Z-continuous domains are given. The main part of the theory of quasicontinuous posets is carried to quasi Z-continous domains.

关 键 词：Rudin性质 Z-below关系 拟Z-连续Domain 

分 类 号：O153.1[理学—数学]