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math.MG2013
Asymptotic dimension, decomposition complexity, and Haver's property C
Alexander Dranishnikov, Michael Zarichnyi
The notion of the decomposition complexity was introduced in \cite{GTY} using a game theoretical approach. We introduce a notion of straight decomposition complexity and compare it…
math.MG2006★ 1 cited
On Asymptotic Assouad-Nagata Dimension
A. N. Dranishnikov, J. Smith
For a large class of metric space X including discrete groups we prove that the asymptotic Assouad-Nagata dimension AN-asdim X of X coincides with the covering dimension $\dim(ν_L…
math.MG2004★ 2 cited
Groups with a polynomial dimension growth
Alexander Dranishnikov
We show that finitely generated groups with a polynomial dimension growth have Yu's property A and give an example of such groups.