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arXiv · 1501.00508

The Bousfield localizations and colocalizations of the discrete model structure

A. Salch
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Abstract

We compute the Bousfield localizations and Bousfield colocalizations of discrete model categories, including the homotopy categories and the algebraic $K$-groups of these localizations and colocalizations. We prove necessary and sufficient conditions for a subcategory of a category to appear as the subcategory of fibrant objects for some such model structure. We also prove necessary and sufficient conditions for a monad to be the fibrant replacement monad of some such model structure.

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A. Salch. 2015-01-02. The Bousfield localizations and colocalizations of the discrete model structure. https://arxiv.org/abs/1501.00508

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