Exact Sequence , Direct and Inverse image Sheaves

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We talk about exact sequence of sheaves and Direct and Inverse image of sheaves
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Thanks again Harpreet. A question around 13:05 or so. you said that f^(-1)(G(u) = .. I am a bit lost as F is a sheaf on X and U subset X, I don't understand how we G is being re-used on X. instead should this be f^(-1)G(v) = .. ?

Thanks,

Brian

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