| 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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| 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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