2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78793A version of a conjecture of McMullen is as follows: Given a hyperbolizable 3-manifold M with incompressible boundary, there exists a uniform constant K such that if N is a hyperbolic 3-manifold homeomorphic to the interior of M, then the injectivity radius based at points in the convex core of N is bounded above by K. This conjecture suggests that convex cores are uniformly congested. We will give a proof in the case when M is an I-bundle over a closed surface, taking into account the possibility of cusps.42 pages, 6 figuresGeometric Topology57M50 (primary); 30F40, 57N10 (Secondary)text