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Homology fibrations and "group-completion" revisited

Wolfgang Pitsch·Jerome Scherer
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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.

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Wolfgang Pitsch, Jerome Scherer. 2003-07-25. Homology fibrations and "group-completion" revisited. https://arxiv.org/abs/math/0307339

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