On regular monomorphisms in weakly locally presentable categories
Journal of Pure and Applied Algebra, 1997 \textit{J. Adámek}, \textit{H. Hu} and the reviewer [J. Pure Appl. Algebra 107, No. 1, 1-8 (1996; Zbl 0852.18002)] showed that in a \(\kappa\)-accessible category \({\mathcal A}\) with pushouts, regular monomorphisms are closed under \(\kappa\)-directed colimits in \({\mathcal A}^2\) (the arrow category of \({\mathcal A})\), which implies that \(\kappa\
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Journal of Algebra, 2017 We prove general results about completeness of cotorsion theories and existence of covers and envelopes in locally presentable abelian categories, extending the well-established theory for module categories and Grothendieck categories. These results are then applied to the categories of contramodules over topological rings, which provide examples and ...
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Are all cofibrantly generated model categories combinatorial?
, 2009 G. Raptis has recently proved that, assuming Vop\v{e}nka's principle, every cofibrantly generated model category is Quillen equivalent to a combinatorial one.
Rosicky, J.
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