Raptis, Georgios and Rosicky, J. (2021) ERRATUM TO "SMALL PRESENTATIONS OF MODEL CATEGORIES AND VOPENKA'S PRINCIPLE". HOMOLOGY HOMOTOPY AND APPLICATIONS, 23 (2). pp. 375-378. ISSN 1532-0073, 1532-0081
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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 subset of 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | cofibrantly generated model category; colimit-dense subcategory; Vopenka's principle |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Aug 2022 09:26 |
| Last Modified: | 10 Aug 2022 09:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46306 |
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