Abstract
We show 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.
Citation
Jesús A. Álvarez López. Alberto Candel. "Nonreduction of Relations in the Gromov Space to Polish Actions." Notre Dame J. Formal Logic 59 (2) 205 - 213, 2018. https://doi.org/10.1215/00294527-2017-0026
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