English

Constructing balleans

General Topology 2019-01-16 v2

Abstract

A ballean is a set endowed with a coarse structure. We introduce and explore three constructions of balleans from a pregiven family of balleans: bornological products, bouquets and combs. We analyze the smallest and the largest coarse structures on a set XX compatible with a given bornology on XX.

Cite

@article{arxiv.1812.03935,
  title  = {Constructing balleans},
  author = {Taras Banakh and Igor Protasov},
  journal= {arXiv preprint arXiv:1812.03935},
  year   = {2019}
}

Comments

Ballean, coarse structure, bornology, bornological product, fan, attachment

R2 v1 2026-06-23T06:37:50.504Z