Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups
Metric Geometry
2024-03-12 v2 Combinatorics
Group Theory
Abstract
Gray and Kambites introduced a notion of hyperbolicity in the setting of semimetric spaces like digraphs or semigroups. We will prove that under a small additional geometric assumption their notion of hyperbolicity is preserved by quasi-isometries. Applied to semigroups, this will partially solve a problem of Gray and Kambites.
Cite
@article{arxiv.2110.13049,
title = {Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups},
author = {Matthias Hamann},
journal= {arXiv preprint arXiv:2110.13049},
year = {2024}
}
Comments
16 pages, previous version (v1) is split into two parts, this is the first part