毛徐新,徐罗山.偏序集上的测度拓扑与稠拓扑[J].数学研究及应用,2018,38(4):341~350
偏序集上的测度拓扑与稠拓扑
The Measurement Topology and the Density Topology of Posets
投稿时间:2017-09-12  修订日期:2018-04-27
DOI:10.3770/j.issn:2095-2651.2018.04.002
中文关键词:  
英文关键词:essential topology  density topology  measurement topology  continuous poset  basis
基金项目:
作者单位
毛徐新 南京航空航天大学理学院, 江苏 南京 210016 
徐罗山 扬州大学数学科学学院, 江苏 扬州 225002 
摘要点击次数: 1358
全文下载次数: 1288
中文摘要:
      
英文摘要:
      In this paper, the concepts of the essential topology and the density topology of dcpos are generalized to the setting of general posets. Basic properties of the essential topology and relations with other intrinsic topologies are explored. Comparisons between the density topology and the measurement topology are made. Via the essential topology, the density topology and the measurement topology, we obtain properties and characterizations of bases of continuous posets. We also provide some new conditions for a continuous poset to be an algebraic poset.
查看全文  查看/发表评论  下载PDF阅读器