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Fibrantly generated weak factorization systems

  • Sean Cox

    Virginia Commonwealth University, Richmond, USA

  • Jiří Rosický

    Masaryk University, Brno, Czechia
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Abstract

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.

Cite this article

Sean Cox, Jiří Rosický, Fibrantly generated weak factorization systems. Rend. Sem. Mat. Univ. Padova (2023), published online first

DOI 10.4171/RSMUP/135