2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79008We consider the notion of stable isomorphism of bundle gerbes. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H^3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables us to develop a classifying theory for bundle gerbes using results of Gajer on BC^x bundles.13 pages, LaTeXDifferential Geometry55R65, 55R35text