Asymptotic-Möbius maps
Résumé
Roughly speaking, a map between metric spaces is asymptotically Möbius if it induces quasi-Möbius maps on asymptotic cones. We show that under such maps, some large-scale notions of dimension increases: asymptotic dimension for finitely generated nilpotent groups, telescopic dimension for CAT (0) spaces.
Domaines
Géométrie métrique [math.MG]Origine | Fichiers produits par l'(les) auteur(s) |
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