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.

该项目涉及集合理论的各个方面。 其中包括：（i）研究可确定的真实集合的结构以及强大的假设的作用，例如可确定的确定性公理和大型红衣主教的存在，以及它们的突变相互关系，（ii）在组合集合理论和强迫和（III）中的问题和（iii）在理论和技术中应用理论和技术的应用。 将涉及三名调查人员：A.S。 Kechris，W.H。 Woodin，B。Velickovic以及几个学生。