English

Functional boundedness of balleans

Group Theory 2020-04-09 v3 General Topology Metric Geometry

Abstract

We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant. A special attention is payed to balleans on groups.

Keywords

Cite

@article{arxiv.1810.12124,
  title  = {Functional boundedness of balleans},
  author = {Taras Banakh and Igor Protasov},
  journal= {arXiv preprint arXiv:1810.12124},
  year   = {2020}
}

Comments

14 pages

R2 v1 2026-06-23T04:55:48.728Z