相容连续Domain的特征与浓度  

Characteristic and Density of Consistently Continuous Domain

作　　者：张鹏垚 姜广浩[1] 李海龙[1] 占诗源 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2014年第1期12-15,共4页Journal of Huaibei Normal University：Natural Sciences

基　　金：国家自然科学基金资助项目(11001001);安徽省教育厅自然科学基金资助项目(KJ2013A236)

摘　　要：引入相容连续Domain的权与稠密子集的概念,在此基础上定义相容连续Domain的特征与浓度.给出局部基的刻画,并讨论相容连续Domain的特征、浓度与相容连续Domain带上Scott拓扑或Lawson拓扑时拓扑空间的特征与浓度之间的关系.证明相容连续Domain的特征、浓度分别带上Scott拓扑时拓扑空间的特征、浓度相等,它们分别小于相容连续Domain带上Lawson拓扑时拓扑空间的特征与浓度.The definitions of weight,dense set,characteristic and density of consistently continuous Domain are given first,and some characteristic theorems are obtained.In addition,the relations between the character-istic and density of a consistently continuous Domain and that of the related topological space with Scott to-pology or Lawson are discussed.It is concluded that the characteristic and density of consistently continuous Domain 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：相容连续Domain 局部基 特征 浓度 SCOTT拓扑 LAWSON拓扑 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]