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数统华章2026系列74 A universal quasi-Polish space

来源: 发布时间: 2026-11-04 点击量:
  • 讲座人: 高速 教授
  • 讲座日期: 2026-11-7(周六)
  • 讲座时间: 16:00
  • 地点: 文津楼1224

讲座人简介:

高速,南开大学讲席教授。研究领域为数理逻辑,特别是描述集合论及其在其它数学分支中的应用,相关成果发表在Inventiones Mathematicae等核心数学期刊上。他担任《中国科学:数学》及两个国际逻辑杂志编委,丛书Perspectives in Logic主编,符号逻辑协会执委会成员,中国数学会数理逻辑专业委员会主任等职。

讲座简介:

The notion of quasi-Polish spaces was introduced by de Brecht in 2013 and it unifies the objects of study from descriptive set theory and domain theory. We show the existence of a universal quasi-Polish space in the sense that every quasi-Polish space is homeomorphic to a closed subspace of the universal space. This gives a hyperspace of all quasi-Polish spaces which is itself a quasi-Polish space. We also show that the collection of all Polish closed subspaces of the universal quasi-Polish space forms a coanalytic, non-Borel subset of the hyperspace. This is joint work with Qingguo Li and Hualin Miao. No AI was used in this research。

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