2009 Fiscal Year Final Research Report
Construction of higher dimensional Erdos-type spaces with selectors and study of topological structure of hyperspaces
| Project/Area Number |
19540134
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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 | Ehime University |
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Principal Investigator |
NOGURA Tsugunori Ehime University, 理工学研究科, 教授 (00036419)
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| Co-Investigator(Kenkyū-buntansha) |
SHAKHMATOV Dmitrii 愛媛大学, 理工学研究科, 教授 (90253294)
FUJITA Hiroshi 愛媛大学, 理工学研究科, 講師 (60238582)
HATTORI Yasunao 島根大学, 総合理工学部, 教授 (20144553)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 順序空間 / 連続選択関数 / 超空間 / 次元 |
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| Research Abstract |
We have constructed an Erdos-type space whose inductive dimension is 2 and admits continuous selections. Also we have constructed a metrizable Erdos space whose covering dimension and small inductive dimension is n for any natural number n and admits a continuous weak selections. We have succeeded to characterize spaces by using set-maximal selections in the following cases : totally disconnected, 0 small inductive dimension and 0 large inductive dimension.
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