2011 Fiscal Year Final Research Report
A study of spatial graphs from topological viewpoint
| Project/Area Number |
21540099
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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 |
Geometry
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| Research Institution | Waseda University |
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Principal Investigator |
TANIYAMA Kouki 早稲田大学, 教育・総合科学学術院, 教授 (10247207)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 位相幾何 |
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| Research Abstract |
We have studied spatial graphs from a viewpoint of the concept multiplicity. We have define the concept multiplicity on a category. As an example, we defined a multiplicity of a knot over another knot. For a continuous map from a three-dimensional Euclidean space to the three-dimensional Euclidean space that maps a knot to another knot, we studied their knot types.
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