small ---> big

etale-cohomology.tex

@@ -14183,10 +14183,10 @@ \section{Comparing big and small topoi}
 $i_g^*(Rf_{big, *}K) = Rf'_{small, *}(i_{g'}^*K)$
 in $D(\textit{Mod}(S'_\etale, \mathcal{O}_{S'}))$.
 \item[(5)] For $K$ in $D((\Sch/T)_\etale)$ we have
-$g_{big}^{-1}(Rf_{big, *}K) = Rf'_{small, *}((g'_{big})^{-1}K)$
+$g_{big}^{-1}(Rf_{big, *}K) = Rf'_{big, *}((g'_{big})^{-1}K)$
 in $D((\Sch/S')_\etale)$.
 \item[(6)] For $K$ in $D((\Sch/T)_\etale, \mathcal{O})$ we have
-$g_{big}^*(Rf_{big, *}K) = Rf'_{small, *}((g'_{big})^*K)$
+$g_{big}^*(Rf_{big, *}K) = Rf'_{big, *}((g'_{big})^*K)$
 in $D(\textit{Mod}(S'_\etale, \mathcal{O}_{S'}))$.
 \end{enumerate}
 \end{lemma}