| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
Using forcing theory and other sophisticated techniques we carried out research about cardinal invariants of the continuum and other topics of set theory of the real numbers. Cardinal invariants of the continuum are defined as the smallest size of sets of real numbers with a certain property and typically take values between the first uncountable cardinal and the cardinality of the continuum. In particular, by developing state-of-the-art iterated forcing techniques closely related to finite support iteration, we obtained new consistency results about the order relationship of various cardinal invariants of the continuum.
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