A boundary for hyperbolic digraphs and semigroups
| Autor: | Hamann, Matthias |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Based on a notion by Gray and Kambites of hyperbolicity in the setting of semimetric spaces like digraphs or semigroups, we will construct (under a small additional geometric assumption) a boundary based on quasi-geodesic rays and anti-rays that is preserved by quasi-isometries and, in the case of locally finite digraphs and right cancellative semigroups, refines their ends. Among other results, we show that it is possible to equip the space, if it is finitely based, together with its boundary with a pseudo-semimetric. Comment: 30 pages, arXiv:2110.13049v1 was split into two parts, this is the second part |
| Databáze: | arXiv |
| Externí odkaz: |
|