The class of Grothendieck fibrations is a subclass of isofibrations, which constitute the class of fibrations in the canonical model structure on $Cat$. Is there any characterization of Grothendieck fibrations in terms of lifting properties? If so, is there a model structure on $Cat$ (of course, non-canonical), whose fibrations are precisely Grothendieck fibrations?
2026-04-02 17:31:04.1775151064
Grothendieck fibrations via right lifting property
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