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 on X to abelian groups.'

I have looked closely into Grothendieck's paper Some aspects of homological algebra (1955-1957) but require some help to further locate the inception of this view of Sheaf Cohomology in the Mathematical Literature.

I'd very much appreciate if someone could point me to the point in the mathematical literature where Grothendieck introduces this idea of cohomology as functor of sheaves of abelian groups on X to abelian groups. Thanks!

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 on X to abelian groups.'

I'd very much appreciate if someone could point me to the point in the mathematical literature where Grothendieck introduces this idea of cohomology as functor of sheaves of abelian groups on X to abelian groups. Thanks!

Perhaps somewhere here? Grothendieck's paper Some aspects of homological algebra (1955-1957); Section 3: Cohomology with coefficients in a sheaf, seems a good place to begin the search it seems to me.

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 on X to abelian groups.'

I have looked closely into Grothendieck's paper Some aspects of homological algebra (1955-1957) but require some help to further locate the inception of this view of Sheaf Cohomology in the mathematical literature.

I'd very much appreciate if someone could point me to the point in the mathematical literature where Grothendieck introduces this idea of cohomology as functor of sheaves of abelian groups on X to abelian groups. Thanks!

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 on X to abelian groups.'

I have looked closely into Grothendieck's paper Some aspects of homological algebra (1955-1957) but require some help to further locate the inception of this view of Sheaf Cohomology in the Mathematical Literature.

I'd very much appreciate if someone could point me to the point in the mathematical literature where Grothendieck introduces this idea of cohomology as functor of sheaves of abelian groups on X to abelian groups. Thanks!