Homology fibrations and “group-completion” revisited
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 153-166.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2004.v6.n1.a10
Classification : 55U10, 19D06
Keywords: group completion, homology fibration, plus-construction, barycentric subdivision, simplex category
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Wolfgang Pitsch; Jérôme Scherer. Homology fibrations and “group-completion” revisited. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 153-166. doi : 10.4310/HHA.2004.v6.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a10/

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