Publication details

Fibrantly generated weak factorization systems

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Authors

COX Sean ROSICKÝ Jiří

Year of publication 2024
Type Article in Periodical
Magazine / Source Rendiconti del Seminario Matematico della Universita di Padova
MU Faculty or unit

Faculty of Science

Citation
Web https://ems.press/journals/rsmup/articles/12349013
Doi http://dx.doi.org/10.4171/RSMUP/135
Keywords Weak factorization system; fibrantly generated; projectivity class; Vopěnka’s principle; accessible category
Description We prove that, assuming Vopěnka’s principle, every small projectivity class in an accessible category is accessible. This conclusion is not provable in ZFC alone, and in fact carries large cardinal strength.
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