2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68173We give a proof of the Jardine-Tillmann generalized group completion theorem. It is much in the spirit of the original homology fibration approach by McDuff and Segal, but follows a modern treatment of homotopy colimits, using as little simplicial technology as possible. We compare simplicial and topological definitions of homology fibrations.13 pagesAlgebraic TopologyPrimary 55U10; Secondary 19D06text