2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215531We present a novel notion of stable objects in a triangulated category. This Postnikov-stability is preserved by equivalences. We show that for the derived category of a projective variety this notion includes the case of semistable sheaves. As one application we compactify a moduli space of stable bundles using genuine complexes via Fourier-Mukai transforms.16 pagesAlgebraic Geometry14F05, 14J60, 14D20text