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理学院2017-2018学年夏季第一周学术报告(七)

发布时间:2018-07-09

学 术 报 告

 

报告题目:On decomposing Borel functions

 

报告学者丁龙云教授

 

报告者单位南开大学

 

报告时间2018710 上午11:00---1200

 

报告地点思源楼102

 

摘要:The study of decomposing Borel functions originated by a question asked by Luzin: is every Borel function decomposable into countably many continuous functions? This question was answered negatively. So we turn to focus on: what kind of Borel functions is decomposable into countably many continuous functions? Jayne-Rogers' theorem shows that, a function of Baire class 1 is decomposable into countably many continuous functions with closed domains iff the preimage of any $F_{\sigma}$ set is still $F_{\sigma}$. The generalization of Jayne-Rogers' theorem is named The Decomposability Conjecture. In this talk, we will introduce the recent developments on the decomposability conjecture.

 

报告人简介丁龙云教授是南开大学数学系副主任,天津市数学会秘书长。主要研究方向为描述集合论,数学基础,泛函分析和点集拓扑。发表学术论文20多篇,其中包括3篇Advances in Mathematics。2009年获教育部新世纪优秀人才支持计划。2017年获得国家杰出青年科学基金。

 

主办教师:宋诗畅

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