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Small typo in schemes
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aisejohan committed Apr 29, 2021
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Expand Up @@ -274,7 +274,7 @@ \section{Open immersions of locally ringed spaces}

\medskip\noindent
Suppose we have another morphism
$f'' : (X, \mathcal{O}_X) \to (V, \mathcal{O}_Y)$ such that $f = j \circ f''$.
$f'' : (X, \mathcal{O}_X) \to (V, \mathcal{O}_V)$ such that $f = j \circ f''$.
At any point $x \in X$, we have $j(f'(x)) = j(f''(x))$ from which it follows
that $f'(x) = f''(x)$ since $j$ is the inclusion map; therefore $f'$ and $f''$
are the same as morphisms of topological spaces. On structure sheaves,
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