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

Matthias Hamann

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arXiv · 2110.13049

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

Matthias Hamann

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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.

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Matthias Hamann. 2021-10-25. Quasi-isometry invariance of hyperbolicity in semimetric spaces, digraphs and semigroups. https://arxiv.org/abs/2110.13049

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