2012 Fiscal Year Final Research Report
Geometric topology of spaces with curvature bounded above
| Project/Area Number |
21740036
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | University of Tsukuba |
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Principal Investigator |
NAGANO Koichi 筑波大学, 数理物質系, 講師 (30333777)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 幾何学 / CAT(0)空間 / アダマール空間 / アレキサンドルフ空間 / CAT(1)空間 |
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| Research Abstract |
For spaces with curvature bounded above, especially CAT(k) spaces, I have aimed to unite the metric geometry with the geometric topology. As joint works with Lytchak, I have mainly tried to study the wall type singularity of CAT(k) spaces, the polyhedral local topological regularity of CAT(k) spaces, and the asymptotic topological regularity of CAT(0) spaces, and obtain several versatile results.
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Research Products
(7 results)
