Fibrantly generated weak factorization systems
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Rendiconti del Seminario Matematico della Universita di Padova |
| MU Faculty or unit | |
| 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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