| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
We investigated topological properties of ideal boundaries of geodesic spaces from the following two points of view. The first case is that the local homology groups of the boundary is trivial. The second case is that th e boundary has pathological complexity.
In the first case we suppose that the boundary should have similar properties to ANR. Related to this topics I published the joined paper with professor V. Valov (Nipissing University, Canada) from Topology and its Applications.
In the second case we suppose that cohomological dimension theory should be a key tool. Then we analized the classical example by Boltyanski and Kodama and succeeded to simplify the construction. We presented its process at he meeting at RIMS Institute for Mathematical Sciences Kyoto University, 2023, 06, 05 -07.
|
