Combinatorics on aleph 1 and forcing theory
Project/Area Number |
19740048
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Shizuoka University |
Principal Investigator |
YORIOKA Teruyuki Shizuoka University, 理学部, 准教授 (60432192)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥2,690,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,000,000 (Direct Cost: ¥1,000,000)
|
Keywords | 公理的集合論 / 強制法 |
Research Abstract |
In this research, I studied about combinatorics on aleph 1. In particular, I investigated combinatorics about Aronszajn trees and introduced forcing axioms related to its combinatorics. In this research, I gave a new development about famous open problems on fragments of Martin's Axiom which has been introduced and deeply studied by Stevo Todorcevic.
|
Report
(5 results)
Research Products
(28 results)