局部连续Domain的特征与浓度  

Character and density on locally continuous Domains

作　　者：张则则 姜广浩[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《天津师范大学学报（自然科学版）》2016年第5期13-16,共4页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11361028);安徽高等学校省级自然科学研究重点资助项目(KJ2013A236;KJ2016A648)

摘　　要：引入局部连续Domain的局部基和稠密子集的概念,在此基础上定义了局部连续Domain的特征与浓度.给出了局部基的刻画,并讨论局部连续Domain的特征、浓度与局部连续Domain带上Scott拓扑或局部Lawson拓扑时的拓扑空间的特征、浓度之间的关系.The concepts of the local base and dense set of locally continuous Domains are introduced and examined. On the basis of this, the character and density on locally continuous Domains are defined. In addition, some characterizations about the local base are given. The relations between the character and density on a locally continuous domain and those on the related topological space with Scott topology or locally l_awson topology are discussed.

关 键 词：局部连续Domain 局部基 稠密子集 特征 浓度 SCOTT拓扑 局部Lawson拓扑 

分 类 号：O153.1[理学—数学]