2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114158Let $D$ be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from $D$ to simplicial sets. As an application we construct homotopy localization functors on the category of simplicial sets which satisfy a stronger universal property than the customary homotopy localization functors do.LaTeX2e, 11 pagesAlgebraic TopologyCategory Theory18G55 (Primary) 55P60, 18D20 (Secondary)text