English

Counting coarse subsets of a countable group

General Topology 2017-06-02 v1

Abstract

For every countable group GG, there are 2ω2^{\omega} distinct classes of coarsely equivalent subsets of GG.

Keywords

Cite

@article{arxiv.1706.00276,
  title  = {Counting coarse subsets of a countable group},
  author = {Igor Protasov and Ksenia Protasova},
  journal= {arXiv preprint arXiv:1706.00276},
  year   = {2017}
}

Comments

Keywords : ballean, coarse structure, asymorphism, coarse equivalence

R2 v1 2026-06-22T20:06:09.677Z