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Carles Casacuberta, Marek Golasiski, Andrew Tonks

Homotopy localization of groupoids

In order to study functorial changes caused by homotopy localizations on the fundamental group of unbased simplicial sets, it is convenient to use groupoids instead of groups, and therefore localizations of groupoids become useful. In this article we develop homotopy localization techniques in the model category of groupoids, with emphasis on the relationship with homotopy localizations of simplicial sets and also with discrete localizations of groups.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 11/2006
Pages: 967 - 982

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