In this paper, we investigate asymptotic dimension of proper CAT(0) spaces and we show that for a proper cocompact CAT(0) space (X, d), the asymptotic dimension asdim(X, d) is greater than the covering dimension dim ∂X of the boundary of X.
"Asymptotic dimension and boundary dimension of proper CAT(0) spaces." Tsukuba J. Math. 36 (2) 185 - 191, December 2012. https://doi.org/10.21099/tkbjm/1358776998