Homology fibrations and "group-completion" revisited

2003/07/25 by Wolfgang Pitsch, Pitsch, Wolfgang, Jérôme Scherer +2
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary 55U10 #Secondary 19D06 #math.AT #msc:19D06 #msc:55U10

paper · pdf · doi:10.48550/arxiv.math/0307339

13 pages

arxiv created 2003/07/25 · openalex publication_date 2003/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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