2010 Fiscal Year Final Research Report
From finite products to infinite products: investigations of topological properties of product spaces by means of set theoretical methods
| Project/Area Number |
19540141
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Oita University |
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Principal Investigator |
KEMOTO Nobuyuki Oita University, 教育福祉科学部, 教授 (70161825)
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| Project Period (FY) |
2007 – 2010
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| Keywords | topological spaces / finite products / infinite products / elementary submodels / hyperspaces |
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| Research Abstract |
Original purposes of this research were to investigate topological properties of infinite product spaces by means of these of finite product spaces. But by applying a set theoretical tool so called elementary submodels to product theory, we investigated toplogical properties of hyperspaces of all closed sets or all compact sets.
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