We are given a site $(C, J)$ for a small category $C$ and a Grothendieck topology $J$. If $F\in Sh(C, J)$, we take the natural topology $J_F$ on its category of elements $el(F)$ induced by $J$. I am wondering if $Sh(C,J)_{/F}\simeq Sh(el(F),J_F)$?
2026-03-25 13:55:35.1774446935
Grothendieck Topology on the Category of Elements
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