尚云,赵彬.相通连续Domain的若干特征定理[J].数学研究及应用,2005,25(4):734~738
相通连续Domain的若干特征定理
Some Characteristic Theorems on Consistently Connected Continuous Domains
投稿时间:2003-03-10  
DOI:10.3770/j.issn:1000-341X.2005.04.028
中文关键词:  相通连续  Domain  连通闭集  定向完备化
英文关键词:consistently connected continuous domains  connected closed sets  directed completions.
基金项目:国家自然科学基金(10471083),高等院校优秀青年教师教学与科研奖励计划(教人司[2000]26号).
作者单位
尚云 中国科学院数学与系统科学研究院 
赵彬 陕西师范大学数学与信息科学学院 
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中文摘要:
      首先引入了相通连续Domain的概念,利用主理想及连通闭集刻画了相通连续Domain; 其次考察了相通完备偏序集的定向完备化,得到了一些好的结果.
英文摘要:
      In this paper, we introduce the concepts of consistently connected continuous domains, and obtain some properties of consistently connected continuous domains by using of the principal ideals and the lattice of connected closed sets. Moreover, we give som
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