| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Research Abstract |
We investigated the continuum and its subsets from the point of view of combinatorial and descriptive set theory. In particular, using forcing theory, which is the main method for obtaining independence results in set theory, and other techniques, we focused on combinatorial properties of quotient structures in set theory, like Boolean algebras of the form P(ω)/I where I is a definable ideal on the power set P(ω) of the natural numbersω.
|
