Mathematical Sciences: Set Theory

数学科学：集合论

• 批准号: 8718847
• 负责人: Alexander Kechris
• 金额: $ 30.69万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-02-01 至 1991-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8718847&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Set; Theory

This project deals with various aspects of set theory. These include: (i) the study of the structure of definable sets of reals and the role of strong hypotheses like the axiom of definable determinacy and the existence of large cardinals, as well as their mutal interrelationships, (ii) problems in combinatorial set theory and forcing and (iii) applications of set theoretic ideas and techniques to analysis. Three investigators will be involved: A.S. Kechris, W.H. Woodin, B. Velickovic, as well as several students.

该项目涉及集合论的各个方面。 这些包括：（i）研究可定义实数集的结构和强假设的作用，例如可定义确定性公理和大基数的存在，以及它们的相互关系，（ii）组合集合论中的问题以及（iii）集合论思想和技术在分析中的应用。 三名调查员将参与其中：A.S. 凯克里斯，W.H. Woodin、B. Velickovic 以及几位学生。