2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63969We prove that Jardine's model category of simplicial presheaves can be obtained by localizing the `discrete' version at the collection of all hypercovers. One consequence is that the fibrant objects can be explicitly identified in terms of a hypercover descent condition. Another is a very simple approach to change-of-site functors. In an appendix, we discuss how this hypercover localization compares to the more naive process of localizing at the Cech complexes; the two are not the same in general, but agree in some cases of interest.Revision has updated references, extra material on fibrationsAlgebraic Topology55U35,18F20text