Injective and projective model structures on enriched diagram categories
Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 279-300.

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In the enriched setting, the notions of injective and projective model structures on a category of enriched diagrams also make sense. In this paper, we prove the existence of these model structures on enriched diagram categories under local presentability, accessibility, and “acyclicity” conditions, using the methods of lifting model structures from an adjunction introduced by Garner, Hess, Kędziorek, Riehl, and Shipley.
DOI : 10.4310/HHA.2019.v21.n2.a15
Classification : 18D20, 18G55, 55U35
Keywords: injective and projective model structure, enriched functor category, induced model structure
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Lyne Moser. Injective and projective model structures on enriched diagram categories. Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 279-300. doi : 10.4310/HHA.2019.v21.n2.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a15/

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