journal6 ›› 2015, Vol. 36 ›› Issue (1): 7-10.DOI: DOI:10.3969/j.issn.1007-2985.2015.01.003

• 数学 • 上一篇    下一篇

半连续dcpo的局部半基的若干理论

祝祯祯,卢涛   

  1. (淮北师范大学数学科学学院,安徽 淮北 235000)
  • 出版日期:2015-01-25 发布日期:2015-01-29
  • 通讯作者: 卢涛(1974—),男,山东诸城人,淮北师范大学数学科学学院副教授,博士,主要从事拓扑学和范畴论研究.
  • 基金资助:

    安徽省自然科学研究项目(KJ2012Z358);国家自然科学基金资助项目(11171156)祝祯祯(1990—),女,安徽淮北人,淮北师范大学数学科学学院硕士研究生,主要从事格上拓扑学研究

Theories of Local Semi-Bases on Semi-Continuous dcpo

 ZHU  Zhen-Zhen, LU  Tao   

  1. (School of Mathematical Sciences,Huaibei Normal University,Huaibei 235000,Anhui China)
  • Online:2015-01-25 Published:2015-01-29

摘要:对连续格、半连续格、半连续dcpo等的相关定义与主要性质进行比较,得到它们的联系与区别,作出一些补充,并给出半连续dcpo的局部半基的概念,从而得到一些相关性质与结论.

关键词: 连续格, 半连续格, 半连续dcpo, 局部半基

Abstract: The relevant definitions and main properties are compared among the continuous lattice,semi continuous lattice and semi continuous dcpo,and thus their relations and differences are obtained.Some supplements are made and the concept of local semi-base about semi-continuous dcpo is introduced.Furthermore,some relevant properties and conclusions are obtained.

Key words: continuous lattice, semi-continuous lattice, semi-continuous dcpo, local semi-base

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