NSF-CGP Science & Engineering Fellows Program: Applications of Set Theory in Algebra

9503178 Jech本提案支持宾夕法尼亚州立大学数学系Thomas Jech博士和名古屋大学三位数学家的合作。角田悠哉，南波健二，和加莫静夫。项目资金将使Jech博士在日本名古屋大学居住三个月，以研究集合论和集合论在代数中的应用。主要研究课题将包括左分配代数、初等嵌入、平稳集、大基数理论、强迫的应用、奇异基数问题和可能共性理论、可数完全滤波器和理想、无穷组合学和布尔代数问题。这项提议汇集了两个国家在现代集合论领域工作的研究科学家。美国科学家将有机会熟悉名古屋大学的研究技术和设施，同时为整体研究工作做出贡献。因此，该提案通过国际合作实现了该计划在科学知识交流和转移方面的目标。* * *

9503178 Jech This proposal supports the collaboration of Dr. Thomas Jech, Department of Mathematics, the Pennsylvania State University and three mathematicians from the Nagoya University: Drs. Yuzura Kakuda, Kanji Namba, and Shizuo Kamo. Project funding will enable Dr. Jech to spend three months in Japan, resident at the University of Nagoya, in order to study set theory and applications of set theory in algebra. The major topics of research will include left-distributive algebras, elementary embeddings, stationary sets, the theory of large cardinals, applications of forcing, the singular cardinals problem and the theory of possible cofinalities, countably complete filters and ideals, infinitary combinatorics, and problems in Boolean algebras. This proposal brings together research scientists from two countries working in the area of modern set theory. The U. S. scientist will have the opportunity to become familiar with research techniques and facilities at the University of Nagoya while contributing to the overall research effort. Therefore, this proposal fulfills the objectives of the Program in its exchange and transfer of scientific knowledge through an international collaboration. * * *