摘要
研究了拟连续Domain中比M^(*)性质更强的SM^(*)性质,并得到了一些有意义的结论.主要结果有:给出了拟连续Domain具有M^(*)性质的等价刻画;给出了拟连续Domain的SM^(*)性质的定义,并说明了M^(*)性质与SM^(*)性质的关系;给出了QL-Domain具有SM^(*)性质的等价条件;给出了两类具有性质SM^(*)的特殊的拟连续Domain.
In this paper,the SM^(*) property which is stronger than the M^(*) property is studied in quasi-continuous Domain and some meaningful conclusions are obtained.The main results are as follows:the equivalent characterization of quasi-continuous Domain with the property of M^(*) is given;The definition of property of quasi-continuous Domain is given,and the relationship between the SM^(*) property and the M^(*) property is illustrated.Meanwhile,the equivalent conditions that QL-Domain has the SM^(*) property are given;Two kinds of special quasi-continuous Domains with property SM^(*) are given.
作者
王武
谭彬
张舜
WANG Wu;TAN Bin;ZHANG Shun(Department of Basic Course,Zhonghuan Information College,Tianjin University of Technology,Tianjin 300380,China;College of Science,Tianjin University of Technology,Tianjin 300384,China;Department of Mathematics Teaching,Tianjin Ren ai College,Tianjin 300163,China)
出处
《西南师范大学学报（自然科学版）》
CAS
2023年第6期25-30,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家青年自然科学基金项目(11401435)
天津市教委科研计划项目(2018KJ147)
2021年高等学校大学数学教学研究与发展中心教学改革项目(CMC20210115)。
