2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65220It is now well known that the K-theory of a Waldhausen category depends on more than just its (triangulated) homotopy category (see [Schlichting]). The purpose of this note is to show that the K-theory spectrum of a (good) Waldhausen category is completely determined by its Dwyer-Kan simplicial localization, without any additional structure. As the simplicial localization is a refined version of the homotopy category which also determines the triangulated structure, our result is a possible answer to the general question: ``To which extent $K$-theory is not an invariant of triangulated derived categories ?''23 pages; final version, accepted for publication in 'Topology'K-Theory and HomologyAlgebraic GeometryAlgebraic TopologyCategory Theorytext