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Publication details
Erratum to “Small presentations of model categories and Vopěnka’s principle”
Authors | |
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Year of publication | 2021 |
Type | Article in Periodical |
Magazine / Source | Homology, Homotopy and Applications |
MU Faculty or unit | |
Citation | |
Web | https://www.intlpress.com/site/pub/pages/journals/items/hha/content/vols/0023/0002/a020/index.php |
Doi | http://dx.doi.org/10.4310/HHA.2021.v23.n2.a20 |
Keywords | cofibrantly generated model category; colimit-dense subcategory; Vopenka's principle |
Description | 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 (L,R) in a cocomplete category M by requiring that the codomains of the generator X?L are also strictly small relative to 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. |