Lemma 6.24.6. Let f : X \to Y be a continuous map of topological spaces. Let \mathcal{O} be a sheaf of rings on Y. Let \mathcal{G} be a sheaf of \mathcal{O}-modules. There is a natural map of underlying presheaves of sets
which turns f^{-1}\mathcal{G} into a sheaf of f^{-1}\mathcal{O}-modules.
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