Asymptotic dimension was introduced by Gromov(1993) to study finitely generated groups, but this definition can be applied for all metric spaces. There are some generalization of the finite asymptotic dimension for the coarse geometry, such as asymptotic property C and the finite decomposition property, which can be generalized to some coarse invariants. In part 2, we observe the geometrical meaning of these properties and possibility for the application to the mapping class group.
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| 제목 | (영문발표 20180531 Asymptotic dimension and finite decomposition complexity(Part 2)) 유병용 |
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