The Bousfield localizations and colocalizations of the discrete model structure
Algebraic Topology
2016-07-08 v2 Category Theory
Abstract
We compute the Bousfield localizations and Bousfield colocalizations of discrete model categories, including the homotopy categories and the algebraic -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.
Keywords
Cite
@article{arxiv.1501.00508,
title = {The Bousfield localizations and colocalizations of the discrete model structure},
author = {A. Salch},
journal= {arXiv preprint arXiv:1501.00508},
year = {2016}
}