2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142805We construct a zig-zag of Quillen adjunctions between the homotopy theories of differential graded and simplicial categories. In an intermediate step we generalize Shipley-Schwede's work on connective DG algebras by extending the Dold-Kan correspondence to a Quillen equivalence between categories enriched over positive graded chain complexes and simplicial k-modules. As an application we obtain a conceptual explanation of Simpson's homotopy fiber construction.22 pagesK-Theory and HomologyAlgebraic Topology18D20, 18D10, 18G55text