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相容拟半连续Domain和相容交半连续Domain
引用本文:郭智莲,杨海龙.相容拟半连续Domain和相容交半连续Domain[J].山东大学学报(理学版),2012,47(2):104-108.
作者姓名:郭智莲  杨海龙
作者单位:1. 陕西师范大学数学与信息科学学院,陕西西安710062/西北政法大学经济管理学院,陕西西安710063
2. 陕西师范大学数学与信息科学学院,陕西西安,710062
基金项目:国家自然科学基金资助项目(10871121,11171196)
摘    要:引入了相容拟半连续Domain和相容交半连续Domain的概念, 给出了一系列好的性质。分别给出了相容半连续Domain与相容拟半连续Domain、相容交半连续Domain间的关系, 并且利用相容半Scott拓扑刻画了相容交半连续Domain。

关 键 词:相容半连续Domain  相容拟半连续Domain  相容交半连续Domain
收稿时间:2011-04-17

Consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains
GUO Zhi-lian,YANG Hai-long.Consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains[J].Journal of Shandong University,2012,47(2):104-108.
Authors:GUO Zhi-lian  YANG Hai-long
Institution:1(1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,Shaanxi,China; 2.School of Economics and Management,Northwest University of Politics and Law,Xi’an 710063,Shaanxi,China)
Abstract:The concepts of consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are introduced,and some properties are given.The relations of consistently semicontinuous Domains and consistently quasi-semicontinuous Domains and consistently meet-semicontinuous Domains are discussed.Also,the equivalences of consistently meet-semicontinuous Domains are given.
Keywords:consistently semicontinuous Domains  consistently quasi-semicontinuous Domains  consistently meet-semicontinuous Domains
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