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For questions about sheaves on a topological space.

11 votes
2 answers
656 views

Equivalence of the definitions of a sheaf in SGA4 and in "Categories and Sheaves"

I asked this question on Mathematics Stack Exchange, but got no answer. I don't understand why the definition of a sheaf (Definition 17.3.1 (ii)) given in the book [KS] Categories and Sheaves by Kashi …
Pierre-Yves Gaillard's user avatar
4 votes

Why are (pre)sheaves defined as contravariant functors? Why not just reverse the arrows in t...

In this post a presheaf is by definition a contravariant functor from a given category to the category of sets. (See Definition 1.2 in Préfaisceaux by Grothendieck and Verdier.) If we have to choose …
Pierre-Yves Gaillard's user avatar