Mathematical Sciences: Set Theory

这个项目涉及集合论的各个方面。 这些 包括：（1）研究实数的可定义集合的结构 以及强假设的作用，比如可定义公理， 确定性和大枢机的存在，以及他们的 相互关系，（ii）组合集合论问题 和强迫和（三）应用集理论的想法， 技术分析。 将有三名研究人员参与：A. S。 Kechris，W.H.伍丁， B。韦利奇科维奇，以及几个学生。

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.