| Project/Area Number |
24540081
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Okayama University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
YAMAGUCHI Kohhei 電気通信大学, 情報理工学(系)研究科, 教授 (00175655)
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| Co-Investigator(Renkei-kenkyūsha) |
HARAGUCHI Tadayuki 大分工業高等専門学校, 一般科理系, 講師 (60633708)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 微分空間 / モデル圏 / Quillen 同値 / de Rham コホモロジー / Quillen同値 / ホモトピー / ド・ラムの定理 / de Rhamコホモロジー |
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| Outline of Final Research Achievements |
In order to establish the foundation of homotopy theory of diffeological spaces, we constructed on the category of diffeological spaces a finitely generated model structure having smooth weak homotopy equivalences as the class of of weak equivalences. It has been shown that our model structure on the category of diffeological spaces is Quillen equivalent to the standard Quillen model structure on the category of topological spaces, with weak homotopy equivalences as the class of weak equivalences.
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