Homology fibrations and "group-completion" revisited

Wolfgang Pitsch, Jérôme Scherer

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7 Citations (Scopus)

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. © 2004, Wolfgang Pitsch and Jérôme Scherer.
Original languageEnglish
Pages (from-to)153-166
JournalHomology, Homotopy and Applications
Volume6
Issue number1
DOIs
Publication statusPublished - 1 Jan 2004

Keywords

  • Barycentric subdivision
  • Group completion
  • Homology fibration
  • Plus-construction
  • Simplex category

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