报告题目：Quasi covering dimension of topological spaces

报告人：汪开云教授（陕西师范大学）

报告时间：2025年12月5日 19：00-20：00

报告地点：5278论坛 301会议室

摘要：This talk focuses on the quasi covering dimension of topological spaces. We prove that a topological space and its Kolmogorov quotient space have the same quasi covering dimension. Subsequently, for a finite T0 space (X, τ), we show that its quasi covering dimension

dimq(X, τ) = max{width(↓x) | x∈Max(X)}−1, where Max(X) is the set of all maximal elements of X under the specialization order. Furthermore, we investigate the subspace theorems of quasi covering dimension of finite topological spaces and give an example presenting that the Cartesian product theorem does not hold in general. Finally, we discuss the relationships between the quasi covering dimension of topological spaces and that of frames.

个人简介：汪开云，陕西师范大学教授，博士生导师。研究方向为序拓扑、逻辑代数与组合集合论。主持国家自然科学基金3项，陕西省创新能力支撑计划项目1项，参与国家自然科学基金重点项目2项。在《Topology and its Applications》、《Archive for Mathematical Logic》、《Order》、《Houston Journal of Mathematics》、《Rocky Mountain Journal of Mathematics》、《 Fuzzy Sets and Systems》、《Acta Mathematica Sinica, English Series》等国内外期刊发表学术论文 40 余篇。学术兼职：中国数学会数理逻辑专业委员会委员，中国系统工程学会模糊数学与模糊系统专业委员会委员，中国逻辑学会非经典逻辑与计算专委会委员。