%0 Journal Article
%T Metrically universal abelian groups
%A Michal Doucha
%J Mathematics
%D 2013
%I arXiv
%X We give a positive answer to the question of Shkarin (\cite{Sk}) whether there exists a metrically universal abelian separable group equipped with invariant metric. Our construction also gives an example of a group structure on the Urysohn universal space that is substantially different from the previously known examples. Under some cardinal arithmetic assumptions, our results generalize to higher cardinalities.
%U http://arxiv.org/abs/1312.7683v2