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arxiv: 1209.0307 · v8 · pith:HE2UZ4WBnew · submitted 2012-09-03 · 🧮 math.LO · math.DS· math.MG

On turbulent relations

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This paper extends the theory of turbulence of Hjorth to certain classes of equivalence relations that cannot be induced by Polish actions. It applies this theory to analyze the quasi-isometry relation and finite Gromov-Hausdorff distance relation in the space of isometry classes of pointed proper metric spaces, called the Gromov space.

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