On turbulent relations
Volume 242 / 2018
Fundamenta Mathematicae 242 (2018), 207-245
MSC: Primary 03E15; Secondary 54H05, 54H20, 54E50.
DOI: 10.4064/fm309-9-2017
Published online: 6 April 2018
Abstract
This paper extends the theory of turbulence of Hjorth to certain classes of equivalence relations that cannot be induced by Polish actions. The results are applied 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.
