| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We studied on the subjects (1) 2 dimensional nonaspherical cell-like continua [2,3]; (2) The inverse limits of finitely generated free groups [4]; (3) Grope groups [5] (4) Covering maps over topological groups [6]; (5) Singular homology groups of one-dimensional Peano continua [1].
(1) We propose four constructions of spaces which produce 2 dimensional nonaspherical cell-like continua. There exists a Peano continuum for each two of them which shows the difference of the two constructions. (2) The inverse limits of inverse sequences of free groups of finite rank are free groups of finite rank or four non-isomrphic groups. (3) If there exists a nontrivial homomorphism from the minimal grope group to another grope group, then the grope has a binary braching part as the minimal grope. (4) There exist infinite sheeted covering maps over any solenoids. (5) Singular homology groups of one-dimensional Peano continua are free abelian groups of finite rank or that of the Hawaiian earring.
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