Hyperballeans of groups
General Topology
2019-02-06 v1 Group Theory
Abstract
In this paper we define some ballean structure on the power set of a group and, in particular, we study the subballean with support the lattice of all its subgroups. If is a group, we denote by the family of all subgroups of . For two groups and , we relate their algebraic structure via the ballean structure of and .
Cite
@article{arxiv.1902.01472,
title = {Hyperballeans of groups},
author = {D. Dikranjan and I. Protasov and N. Zava},
journal= {arXiv preprint arXiv:1902.01472},
year = {2019}
}
Comments
ballean, coarse structure, coarse map, asymorphism, asymptotic dimension, balleas defined by ideals, hyperballeans