2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122706Let S be an oriented surface of finite type of genus g with m punctures and where 3g-3+m>1. We show that the mapping class group M(S) of S is quasi-isometrically rigid. We also give a different proof of the following result of Behrstock and Minsky: The homological dimension of the asmyptotic cone of M(S) of S equals 3g-3+m.73 p, 7 figures. Completely rewritten. Substantial corrections. Proof of quasi-isometric rigidity addedGeometric TopologyGroup Theory50F65, 57M50text