English

A coarse invariant for all metric spaces

General Topology 2024-03-20 v1

Abstract

"An invariant of metric spaces under bornologous equivalences" gives an invariant and "A coarse invariant" extends the invariant to coarse equivalences. In both papers the invariant is defined for a class of metric spaces called sigma stable. This paper extends the invariant to all metric spaces and also gives an example of a space that is not sigma stable.

Keywords

Cite

@article{arxiv.1112.1714,
  title  = {A coarse invariant for all metric spaces},
  author = {Michael DeLyser and Brendon LaBuz and Benjamin Wetsell},
  journal= {arXiv preprint arXiv:1112.1714},
  year   = {2024}
}
R2 v1 2026-06-21T19:48:05.814Z