首页 | 本学科首页   官方微博 | 高级检索  
     检索      

拟Z-连续domain和Z-交连续domain
引用本文:徐晓泉,罗懋康,黄艳.拟Z-连续domain和Z-交连续domain[J].数学学报,2005,48(2):221-234.
作者姓名:徐晓泉  罗懋康  黄艳
作者单位:[1]四川大学数学科学学院,成都610064//江西师范大学数学系,南昌330027 [2]四川大学数学科学学院,成都610064 [3]哈尔滨工业大学应用数学系,哈尔滨150001
基金项目:国家自然科学基金(19831040,10331010) 教育部博士点基金 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资助项目
摘    要:对一般子集系统Z,引入了Rudin性质、拟Z-连续domain及Z-交连续 domain的概念,讨论了它们的基本性质.特别是Z-连续性、拟Z-连续性、 Z-交连 续性和Z-Lawson拓扑之T2性之间的相互关系. 证明了当子集系统Z满足一定条件 时,拟Z-连续domain P上的Z-way below关系Z具有插入性质, P上的Z-Lawson 拓扑λZ(P)是T2的,且P可用Z-Lawson同态嵌入到某方体之中.文中给出了一个 domain P,其上的Lawson拓扑λ(P)是T2的,但P不是拟连续性domain.

关 键 词:Rudin子集系统  拟Z-连续domain  Z-交连续domain

Quasi Z-Continuous Domains and Z-Meet Continuous Domains
Xiao Quan XU College of Mathematics,Sichuan University,Chengdu ,P. R. China.Quasi Z-Continuous Domains and Z-Meet Continuous Domains[J].Acta Mathematica Sinica,2005,48(2):221-234.
Authors:Xiao Quan XU College of Mathematics  Sichuan University  Chengdu  P R China
Institution:Xiao Quan XU College of Mathematics, Sichuan University, Chengdu 610064, P. R. China Department of Mathematias, Jiangxi Normal University, Nanchang 330027, P. R. China Mao Kang LUO College of Mathematics, Sichuan University, Chengdu 610064, P. R. China Yan HUANG Department of Mathematias, Harbin Polytechnic University, Harbin 150001, P. R. China
Abstract:In this paper, the concepts of quasi Z-continuous domains and Z-meet continuous domains are introduced, and some relations between Z-continuous domains, quasi Z-continuous domains, Z-meet continuous domains and the Hausdorff separation of Z-Lawson topology are investigated. It is proved that if a subset system Z satisfies certain conditions and P is a quasi Z-qcontinuous domain, then the Z-way below relation <
Keywords:Rudin subset system  Quasi Z-continuous domains  Z-meet continuous domains
本文献已被 CNKI 维普 等数据库收录!
点击此处可从《数学学报》浏览原始摘要信息
点击此处可从《数学学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号