讲座主题：Completion of fuzzy quasi-uniform spaces

主讲人： 岳跃利

工作单位：中国海洋大学

活动时间：2021年1月8日 14:00-14:50

讲座地点：腾讯会议：537 764 261

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, we give a kind of Cauchy completeness in probabilistic quasi-uniform space by using pair T-filters, and prove that this kind of Cauchy completeness is equivalent to the T-completeness of induced probabilistic uniform space introduced by Höhle. We also give a characterization of Cauchy completeness by Lawvere completeness. Then, we study the completion of probabilistic (quasi-)uniform space and show that each T0 separated probabilistic quasi-uniform space has a T0 Cauchy completion. Finally, in probabilistic quasi-metric space, we study the relationship between the completeness of induced quasi-uniform space and the completeness of probabilistic quasi-metric space.

主讲人介绍：

岳跃利：中国海洋大学数学科学学院教授，硕士生导师；获2010年全国优秀博士学位论文题名论文;主要从事格值拓扑的研究，在格值度量空间、一致空间和收敛空间等方面发表多篇高质量的论文.