RT Journal Article T1 Nonreduction of Relations in the Gromov Space to Polish Actions A1 Álvarez López, Jesús Antonio A1 Candel, Alberto K1 Gromov space K1 Gromov–Hausdorff metric K1 quasi-isometry AB We show that in the Gromov space of isometry classes of pointed proper metric spaces, the equivalence relations defined by the existence of coarse quasi-isometries or being at finite Gromov–Hausdorff distance cannot be reduced to the equivalence relation defined by any Polish action. PB University of Notre Dame SN 0029-4527 YR 2018 FD 2018-01-08 LK http://hdl.handle.net/10347/32174 UL http://hdl.handle.net/10347/32174 LA eng NO Álvarez López, J.A., Candel, A. (2018). Non-reduction of relations in the Gromov space to Polish actions. "Notre Dame J. Formal Logic", vol. 59, 205-213 NO Spanish Ministry of Science and Innovation grants MTM2011-25656 and MTM2008-02640 DS Minerva RD 24 abr 2026