Study of dimension in coarse geometry and selections
| Project/Area Number |
26800040
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Ehime University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | coarse幾何 / 漸近次元 / 選択関数 / Coarse幾何学 / 次元 / 国際研究者交流 / メキシコ |
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| Outline of Final Research Achievements |
We mainly studied dimension in coarse geometry and the hyperspace selection problem in general topology. Concerning dimension in coarse geometry, we obtain results on infinite-dimensionality of the following two metric spaces: the countable direct sum of integers; a coarse disjoint union of graphs with large girth. We also have results on coarse structures, which are generalizations of metrics, and their infinite-dimensionality. Concerning the hyperspace selection problem, we obtain results on the existence of a continuous weak selection and orderability.
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Report
(5 results)
Research Products
(29 results)
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[Presentation] 漸近次元とその無限次元性2015
Author(s)
山内貴光
Organizer
第62回トポロジーシンポジウム
Place of Presentation
名古屋工業大学 (愛知県名古屋市)
Year and Date
2015-08-06
Related Report
Invited
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