English

Trees of hyperbolic spaces

Group Theory 2022-02-22 v1

Abstract

We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications, we prove the existence of Cannon-Thurston maps for inclusion maps of total spaces of subtrees of hyperbolic spaces.

Keywords

Cite

@article{arxiv.2202.09526,
  title  = {Trees of hyperbolic spaces},
  author = {Michael Kapovich and Pranab Sardar},
  journal= {arXiv preprint arXiv:2202.09526},
  year   = {2022}
}
R2 v1 2026-06-24T09:45:35.605Z