%0 Journal Article
%T Non-reduction of relations in the Gromov space to Polish actions
%A Jes¨˛s A. ¨˘lvarez L¨®pez
%A Alberto Candel
%J Mathematics
%D 2015
%I arXiv
%X It is shown that, in the Gromov space of isometry classes of pointed proper metric spaces, the equivalence relations defined by existence of coarse quasi-isometries or being at finite Gromov-Hausdorff distance, cannot be reduced to the equivalence relation defined by any Polish action.
%U http://arxiv.org/abs/1501.02606v4