2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125174For every regular cardinal $α$, we construct a cofibrantly generated Quillen model structure on a category whose objects are essentially DG categories which are stable under suspensions, cosuspensions, cones and $α$-small sums. Using results of Porta, we show that the category of well-generated (algebraic) triangulated categories in the sense of Neeman is naturally enhanced by our Quillen model category.17 pagesK-Theory and HomologyAlgebraic Topology18E30, 18E35, 18D20 (Primary), 18C15, 18C20 (Secondary)text