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Given a simply connected open subset D of C < sup > n </ sup >, there is an associated sheaf O < sub > D </ sub > of holomorphic functions on D. Throughout, U is any open subset of D. Then the set O < sub > D </ sub >( U ) of holomorphic functions from U to C has a natural ( componentwise ) C-algebra structure and one can collate sections that agree on intersections to create larger sections ; this is outlined in more detail at sheaf.
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