English

On turbulent relations

Logic 2016-12-14 v8 Dynamical Systems Metric Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1209.0307,
  title  = {On turbulent relations},
  author = {Jesús A. Álvarez López and Alberto Candel},
  journal= {arXiv preprint arXiv:1209.0307},
  year   = {2016}
}

Comments

42 pages. The title was slightly changed once more

R2 v1 2026-06-21T21:58:51.313Z