2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104743We introduce a notion of a filtered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes several known examples. We give several examples, including a homotopy theory for $G$-spaces, where $G$ is a pro-finite group. The class of weak equivalences is an approximation to the class of underlying weak equivalences.29 pagesAlgebraic Topology55U35 (Primary) 55P91, 18G55 (Secondary)text