Project/Area Number |
23KF0257
|
Research Category |
Grant-in-Aid for JSPS Fellows
|
Allocation Type | Multi-year Fund |
Section | 外国 |
Review Section |
Basic Section 12030:Basic mathematics-related
|
Research Institution | Kobe University |
Principal Investigator |
Brendle Jorg 神戸大学, システム情報学研究科, 教授 (70301851)
|
Co-Investigator(Kenkyū-buntansha) |
PARENTE FRANCESCO 神戸大学, システム情報学研究科, 外国人特別研究員
|
Project Period (FY) |
2023-11-15 – 2026-03-31
|
Project Status |
Granted (Fiscal Year 2023)
|
Budget Amount *help |
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2025: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2024: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2023: ¥200,000 (Direct Cost: ¥200,000)
|
Outline of Research at the Start |
We will investigate the structure of ultrafilters on Boolean algebras, with particular emphasis on certain orderings on such ultrafilters (like the Rudin-Frolik ordering) as well as on the relationship between combinatorial properties of ultrafilters and partitions of Boolean algebras. While the methods will mainly come from combinatorial set theory, this research has important repercussions on areas like topology and model theory.
|