Relative hyperbolicity,trees of spaces and Cannon-Thurston maps |
| |
Authors: | Mahan Mj Abhijit Pal |
| |
Affiliation: | 1.RKM Vivekananda University,Belur Math,India;2.Stat-Math Unit, Indian Statistical Institute,Kolkata,India |
| |
Abstract: | We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of a vertex space into a tree of (strongly) relatively hyperbolic spaces satisfying the qi-embedded condition. This implies the same result for inclusion of vertex (or edge) subgroups in finite graphs of (strongly) relatively hyperbolic groups. This generalizes a result of Bowditch for punctured surfaces in 3 manifolds and a result of Mitra for trees of hyperbolic metric spaces. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|