Geodesic
Algebraically cofibrant and fibrant objects revisited
Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 271-298.

Voir la notice de l'article provenant de la source International Press of Boston

We extend all known results about transferred model structures on algebraically cofibrant and fibrant objects by working with weak model categories. We show that for an accessible weak model category there are always Quillen equivalent transferred weak model structures on both the categories of algebraically cofibrant and algebraically fibrant objects. Under additional assumptions, these transferred weak model structures are shown to be left, right or Quillen model structures. By combining both constructions, we show that each combinatorial weak model category is connected, via a chain of Quillen equivalences, to a combinatorial Quillen model category in which all objects are fibrant.
DOI : 10.4310/HHA.2022.v24.n1.a14
Classification : 18C35, 18G55, 55U35 
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John Bourke; Simon Henry. Algebraically cofibrant and fibrant objects revisited. Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 271-298. doi : 10.4310/HHA.2022.v24.n1.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n1.a14/

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