Homology fibrations and "group-completion" revisited

Wolfgang Pitsch; Jérôme Scherer

doi:10.4310/HHA.2004.v6.n1.a10

Homology fibrations and "group-completion" revisited

Wolfgang Pitsch, Jérôme Scherer

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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 language	English
Pages (from-to)	153-166
Journal	Homology, Homotopy and Applications
Volume	6
Issue number	1
DOIs	https://doi.org/10.4310/HHA.2004.v6.n1.a10
Publication status	Published - 1 Jan 2004

Keywords

Barycentric subdivision
Group completion
Homology fibration
Plus-construction
Simplex category

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AB - 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.

KW - Barycentric subdivision

KW - Group completion

KW - Homology fibration

KW - Plus-construction

KW - Simplex category

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DO - 10.4310/HHA.2004.v6.n1.a10

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