Fibrantly generated weak factorization systems

Fibrantly generated weak factorization systems

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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Veröffentlicht in:Rendiconti - Seminario matematico della Università di Padova 2024-01, Vol.152, p.133-144
Hauptverfasser: Cox, Sean, Rosický, Jiří
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0041-8994
2240-2926
DOI:10.4171/rsmup/135