Let $C$ be a small category, and let $F:C\to \mathrm{Set}$ be a set-valued functor. Is the category of elements of $F$ small?
If yes, how does one show that the arrows form a (small) set? (For the objects I have more intuition.)
2026-04-25 16:57:43.1777136263
Category of elements over small category: is it small?
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