A study of extension problems of partitions of unity on topological spaces
| Project/Area Number |
19740027
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Takasaki City University of Economics |
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Principal Investigator |
YAMAZAKI Kaori Takasaki City University of Economics, 経済学部, 准教授 (80301076)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,020,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥720,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | 位相幾何 / 1の分割 / 連続関数の拡張 / 線形拡張子 / 拡張作用素 / バナッハ束 / 挿入定理 / 位相ベクトル空間 / 拡張問題 / 反射的バナッハ空間 / 拡張子 / GO-空間 / 位相空間 / Dugundjiの拡張子 |
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| Research Abstract |
On extension problems of partitions of unity, we study various extenders on topological spaces. In particular, we give a condition which characterizes a normed space to be reflexive by using linear closed convex extenders. This provides a negative answer to a question asked by Heath and Lutzer in 1974. Moreover, we give a theorem which shows variations between linear closed convex extenders and monotone extenders.
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Report
(6 results)
Research Products
(25 results)
