| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Research Abstract |
We characterize potentially dense subsets of abelian groups G of size at most the power set of the continuum, and we show that the Markov-Zariski closure of a subset S of such a group G can be realized in some precompact group topology on G. (In particular, potential denseness of a set in G can be witnessed by some precompact group topology of G.) New metrizability criteria for compcat groups are obtained. We also provide various characterizations of Lie groups by means of controlling their zero-dimensional closed subgroups. Multiplier convergence theory of topological groups is developed.
|
