Informace o publikaci

Erratum to “Small presentations of model categories and Vopěnka’s principle”

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RAPTIS George ROSICKÝ Jiří

Rok publikování 2021
Druh Článek v odborném periodiku
Časopis / Zdroj Homology, Homotopy and Applications
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www 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
Klíčová slova cofibrantly generated model category; colimit-dense subcategory; Vopenka's principle
Popis 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.

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