Homology, Homotopy and Applications
Volume 6 (2004)
Homology fibrations and “group-completion” revisited
Pages: 153 – 166
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.
group completion, homology fibration, plus-construction, barycentric subdivision, simplex category
2010 Mathematics Subject Classification
Primary 55U10. Secondary 19D06.