Talk:Localization of a category

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This page needs to include something on Bousfield localization from homotopy theory. - Gauge 18:33, 10 August 2005 (UTC)

[edit] Categories of Fractions

Bousfield seems to special to me to include it in the text; Verdier localization sounds about right. BTW, for the calculus of fractions there are quite some restrictions on the set of morphisms to be inverted; in particular, it is not generally applicable to construct the derived category directly from chain complexes (see Gelfand/Manin, Methods of Homological Algebra). So I'm wondering: does the name "Localization" just refer to the categories of fractions as stated in the article, or is the general concept of adjoining inverses of arbitrary sets of morphisms? - 80.143.125.195 15:05, 18 January 2007 (UTC)