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math.CT2025
Are chain-complete posets co-wellpowered?
Jan Jurka, JiÅà Rosický
We show that the category of chain-complete posets is nearly locally presentable, we give a characterization of strong epimorphisms, and we offer an alternative proof of co-wellpow…
math.CT2025
An enriched small object argument over a cofibrantly generated base
Jan Jurka
The small object argument is a method for transfinitely constructing weak factorization systems originally motivated by homotopy theory. We establish a variant of the small object…