Asymptotic-Möbius maps - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Asymptotic-Möbius maps

Abstract

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.
Fichier principal
Vignette du fichier
Asymptotic-MoebiusMaps.pdf (368.04 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03746707 , version 1 (05-08-2022)
hal-03746707 , version 2 (23-08-2022)
hal-03746707 , version 3 (24-08-2022)
hal-03746707 , version 4 (16-12-2022)
hal-03746707 , version 5 (21-02-2023)

Identifiers

  • HAL Id : hal-03746707 , version 5

Cite

Georg Alexander Gruetzner. Asymptotic-Möbius maps. 2023. ⟨hal-03746707v5⟩
137 View
83 Download

Share

Gmail Facebook X LinkedIn More