Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups

Fuente: arXiv
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Auteur principal: Hamann, Matthias
Format: Preprint
Publié: 2021
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author Hamann, Matthias
author_facet Hamann, Matthias
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2110_13049
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups
Hamann, Matthias
Metric Geometry
Combinatorics
Group Theory
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.
title Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups
topic Metric Geometry
Combinatorics
Group Theory
url https://arxiv.org/abs/2110.13049