diff --git a/Lectures/Lecture 9.tex b/Lectures/Lecture 9.tex index 8c89e0f..5b5f651 100644 --- a/Lectures/Lecture 9.tex +++ b/Lectures/Lecture 9.tex @@ -239,7 +239,7 @@ \section{Exact sequences} \begin{lem} Let \(\mathcal F^\bullet\) be a cochain complex in \(\catAbelianSheaf(X)\). -Then \(\mathcal F^\bullet\) is exact at \(\mathcal F^i\) if and only if \(\mathcal F^\bullet_x\) is exact at \(\mathcal F^i_x\) is exact for all \(x\in X\). +Then \(\mathcal F^\bullet\) is exact at \(\mathcal F^i\) if and only if \(\mathcal F^\bullet_x\) is exact at \(\mathcal F^i_x\) for all \(x\in X\). \end{lem} \begin{proof}