Non-reduction of relations in the Gromov space to Polish actions
classification
🧮 math.GT
math.GNmath.MG
keywords
definedequivalencegromovpolishrelationsspaceactionactions
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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.
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