U.S.-Czechoslovakia Mathematics Research in Set Theory

美国的主要目标是-捷克斯洛伐克研究 宾夕法尼亚州的托马斯杰赫博士 州立大学和博胡斯拉夫·巴尔卡博士 捷克斯洛伐克科学院数学研究所 是研究集合论中的数学问题， 布尔代数 具体而言， 将处理布尔上的测度和超滤子 代数，不可数基数上的过滤器，以及 奇异基数的性质 大主教， 强迫和动力系统也将进行研究。 研究人员希望利用他们的互补性 扩展测量理论的专业知识， 基数的组合性质 这个数学项目实现了 促进科学知识的目标， 美国和东欧的顶尖专家 联合收割机互补人才，集中研究 共同感兴趣的领域的资源， 能力。

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.