Geodesic
Erratum to “Small presentations of model categories and Vopěnka’s principle”
Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 375-378.

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

The proof of [6, Theorem 3.1(3)] turns out to be invalid due to a recent correction [3] of a result from [1] which was used in our proof. We revise the definition of a strictly cofibrantly generated weak factorization system $(\mathcal{L},\mathcal{R})$ in a cocomplete category $\mathcal{M}$ by requiring that the codomains of the generator $\mathcal{X} \subseteq \mathcal{L}$ are also strictly small relative to $\mathcal{X}$. Using this slightly stronger definition, we give a new proof of [6, Theorem 3.1(3)] and explain that the rest of the results of [6] hold with essentially the same proofs.
DOI : 10.4310/HHA.2021.v23.n2.a20
Classification : 18C35, 55U35
Keywords: cofibrantly generated model category, colimit–dense subcategory, Vopěnka’s principle 
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     author = {G. Raptis and J. Rosick\'y},
     title = {Erratum to {{\textquotedblleft}Small} presentations of model categories and {Vop\v{e}nka{\textquoteright}s} principle{\textquotedblright}},
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     pages = {375--378},
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     year = {2021},
     doi = {10.4310/HHA.2021.v23.n2.a20},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n2.a20/}
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G. Raptis; J. Rosický. Erratum to “Small presentations of model categories and Vopěnka’s principle”. Homology, homotopy, and applications, Tome 23 (2021) no. 2, pp. 375-378. doi : 10.4310/HHA.2021.v23.n2.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n2.a20/

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