%0 Journal Article
%T Remarks on coarse triviality of asymptotic Assouad-Nagata dimension
%A Damian Sawicki
%J Mathematics
%D 2013
%I arXiv
%R 10.1016/j.topol.2014.03.012
%X We show for a given metric space $(X,d)$ of asymptotic dimension $n$ that there exists a coarsely and topologically equivalent hyperbolic metric $d'$ of the form $d' = f \circ d$ such that $(X,d')$ is of asymptotic Assouad-Nagata dimension $n$. As a corollary we construct examples of spaces realising strict inequality in the logarithmic law for AN-asdim of a Cartesian product. One of them may be viewed as a counterexample to a specific kind of a Morita-type theorem for AN-asdim.
%U http://arxiv.org/abs/1309.2775v2