Title: Homology fibrations and group completion revisited

Authors : Jerome SCHERER and Wolfgang PITSCH

e-mail : jscherer@mat.uab.es and Wolfgang.Pitsch@math.unige.ch

AMS classification : Primary  55U10; Secondary 19D06

arXiv : math.AT/0307339 

Abstract : We 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.