U.S.-Czechoslovakia Mathematics Research in Set Theory

宾夕法尼亚州立大学的Thomas Jech博士和捷克斯洛伐克科学院数学研究所的BoHuslav Balcar博士开展的这项美捷研究项目的主要目标是研究集合论和布尔代数中的数学问题。具体而言，这些问题将涉及布尔代数上的度量和超滤子，不可数基数上的滤子，以及奇异基数的性质。大基数、强迫和动力系统也将被研究。研究人员希望利用他们互补的专业知识来扩展与基数的组合性质相关的度量理论。这个数学项目通过使美国和东欧的顶尖专家能够将互补的人才结合在一起，并在相互感兴趣和能力很强的领域汇集研究资源，从而实现了促进科学知识的计划目标。

The primary objective of this U.S.-Czechoslovak research project between Dr. Thomas Jech of the Pennsylvania State University and Dr. Bohuslav Balcar of the Czechoslovak Academy of Sciences' Mathematical Institute is to examine mathematical problems in set theory and Boolean algebras. Specifically the questions examined will deal with measures and ultrafilters on Boolean algebras, filters over uncountable cardinals, and properties of singular cardinals. Large cardinals, forcing, and dynamical systems will also be studied. The researchers expect to use their complementary expertise to extend measure theory as related to combinatorial properties of cardinals. This project in mathematics fulfills the program objective of advancing scientific knowledge by enabling leading experts in the United States and Eastern Europe to combine complementary talents and pool research resources in areas of strong mutual interest and competence.