| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Original purposes of this research were, using some set theoretical techniques,to investigate topological properties of hyper spaces by means of product theory. As results, applying set theoretical tool so called the elementary submodels, we have some results about normality or other topological properties of hyperspaces of all closed sets or all compact sets. On the other hand, whether the hyperspace of all subsets of the natural numbers is countably metacompact remains open. But we obtain an answer to the problem whether the products of two generalized ordered are countably metacompact, which has remained open for twenty years.
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