| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We confirm 70 years old conjecture of Markov concerning the algebraic structure of connected groups in the class of abelian groups. Answering a question of Comfort and Gould, we completely describe the algebraic structure of abelian topological groups having the small subgroup generating property. We construct a countable free closed non-relexive subgroup in the product of continuum many integers. We introduce a notion of selectively sequentially pseudocompact space and study basic properties of this new subclass of pseudocompact spaces. Answering a question of Tkachenko, we prove that a weakly pseudocompact precompact group is pseudocompact.
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