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Inception of modern view of Sheaf Cohomology in Mathematical Literature

From wikipedia entry on Sheaf Cohomology I have found the intriguing passage: 'The essential point is to fix a topological space X and think of cohomology as a functor from sheaves of abelian groups o …
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Inception of modern view of Sheaf Cohomology in Mathematical Literature

The answer comes from the introduction section of Grothendieck (1955): A general theory of fibre spaces with structure sheaf.
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