Apr, 2010 - Mar, 2014
Coarse analyzing metric spaces of non-positive curvature and topological analyzing remainders of its compactifications
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
- Grant number
- 22540105
- Japan Grant Number (JGN)
- JP22540105
- Grant amount
-
- (Total)
- 4,160,000 Japanese Yen
- (Direct funding)
- 0 Japanese Yen
- (Indirect funding)
- 0 Japanese Yen
- Grant type
- Competitive
It is important mathematically (in particular, geometrically) to study Coxeter groups. We investigate Coxeter groups and obtain topological properties for boundaries of metric spaces of non-positive curvature and hyperbolic spaces on whose Coxeter groups are geometrically acted. Specifically, we provide the following results: a necessary and sufficient condition with a topological fractal structure of its boundary, the construction of topological universal spaces as the boundaries of Coxeter groups, and, an extension of the decomposition theorem to the Coxeter group. Moreover, we investigate colorings numbers of maps deeply related to fix points of remainders of compactifications and we obtain a necessary and sufficient condition with colorings numbers of homeomorphisms on locally finite graphs
- Link information
- ID information
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- Grant number : 22540105
- Japan Grant Number (JGN) : JP22540105