The Tukey Representation of Directed Sets of Topology and its Applications
报告专家：冯自勤（奥本大学）
报告时间：2024年6月27日（星期四）上午10：30-11：30
报告地点：数学学院西202报告厅
报告摘要：Directed sets are common in topology and in a variety of contexts. We show that every directed set can be represented, up to Tukey equivalence, by such a topological directed set. In the opposite direction we show that any totally bounded uniformity is Tukey equivalent to [κ]<ω, the collection of all finite subsets of κ, the cofinality of the uniformity - all other Tukey types are ‘rejected’. Some applications of these results will be discussed in the talk. This is a joint work with Paul Gartside.
专家简介：冯自勤分别于2006年和2010年在山东大学和匹兹堡大学获得博士学位； 在2010年后在迈阿密大学从事教学科研工作；之后，在欧盟玛丽·居里国际研究员计划的支持下在英国伯明翰大学进行为期14个月的访问研究。现就职于奥本大学。
邀请人：张德学
