2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221671We introduce the notion of inductive category in a model category and prove that it agrees with the Ganea approach given by Doeraene. This notion also coincides with the topological one when we consider the category of (well-) pointed topological spaces.14 pagesAlgebraic TopologyCategory Theory55M30; 55U35Inductive Lusternik-Schnirelmann category in a model categorytext