Topological structure of a compactification and its boundary on coarse geometry
Project/Area Number |
25800035
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Geometry
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Research Institution | Kanagawa University (2016) The University of Tokyo (2013-2015) |
Principal Investigator |
MINE Kotaro 神奈川大学, 工学部, 助教 (90512525)
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Project Period (FY) |
2013-04-01 – 2017-03-31
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Project Status |
Completed (Fiscal Year 2016)
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Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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Keywords | Higson境界 / 粗空間 / 大スケール幾何学 / 漸近次元 / 一様空間 / 擬等長 / コンパクト化 / 位相空間 / 粗幾何 / Higsonコンパクト化 / Smirnovコンパクト化 / coarse空間 / 不動点 |
Outline of Final Research Achievements |
We studied properties of large scale geometry from a view point of the topology of a boundary at infinity which is called the Higson corona. (1) We investigated a condition of a coarse map on the underlying space which induces a fixed point free homeomorphism on the corona. (2) We discussed a generalization of C_0 structures for uniform spaces and a relation between these Higson compactifications and Smirnov compactifications. (3) We also studied the Higson corona of the product of coarse spaces.
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Report
(5 results)
Research Products
(27 results)
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[Presentation] 位相空間論入門2014
Author(s)
嶺幸太郎
Organizer
第2回つくばフレッシュマンセミナー
Place of Presentation
筑波大学
Year and Date
2014-07-21
Related Report
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