Abstract
Recall from Section 8.3 that a left Bousfield localization of a model category ε is a different model structure on the same category with more weak equivalences, but the same cofibrations. We have seen several examples of these already, such as the Kan–Quillen model structure as a localization of the categorical model structure on simplicial sets, as well as the various model structures on the category of dendroidal sets. In the next chapter, it will be necessary to have a general method of constructing such localizations, starting only from a ‘basic’ model structure and a set of morphisms which one would like to make weak equivalences. We will establish the technique to do so in this chapter.
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Heuts, G., Moerdijk, I. (2022). Mapping Spaces and Bousfield Localizations. In: Simplicial and Dendroidal Homotopy Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 75. Springer, Cham. https://doi.org/10.1007/978-3-031-10447-3_11
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DOI: https://doi.org/10.1007/978-3-031-10447-3_11
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