Publication details
Erratum to “Small presentations of model categories and Vopěnka’s principle”
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Homology, Homotopy and Applications |
| MU Faculty or unit | |
| Citation | RAPTIS, George and Jiří ROSICKÝ. Erratum to “Small presentations of model categories and Vopěnka’s principle”. Homology, Homotopy and Applications. International Press of Boston, 2021, vol. 23, No 2, p. 375-378. ISSN 1532-0073. Available from: https://dx.doi.org/10.4310/HHA.2021.v23.n2.a20. |
| 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. |