Homology fibrations and "group-completion" revisited

Mathematics – Algebraic Topology

Scientific paper

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13 pages

Scientific paper

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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