A study of spatial graphs from topological viewpoint
Project/Area Number |
21540099
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Geometry
|
Research Institution | Waseda University |
Principal Investigator |
TANIYAMA Kouki 早稲田大学, 教育・総合科学学術院, 教授 (10247207)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | 位相幾何 / 結び目 / 空間グラフ |
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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Report
(4 results)
Research Products
(12 results)