English

A weight-free characterisation of Yu's Property A

Metric Geometry 2024-12-24 v1

Abstract

In this short note, we give a complete answer to the question of when the generalised F\o lner sets exhibiting property A can be chosen to be subsets of the space itself. More precisely, we prove that this holds for any discrete metric space of bounded geometry.

Keywords

Cite

@article{arxiv.2412.16549,
  title  = {A weight-free characterisation of Yu's Property A},
  author = {Jiawen Zhang and Jingming Zhu},
  journal= {arXiv preprint arXiv:2412.16549},
  year   = {2024}
}