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For questions about sheaves on a topological space.

12 votes
6 answers
1k views

Assumptions on the category C for sheafification of C-valued presheaves

For any category C and topological space X we have the notion of a C-valued presheaf on X. What assumptions must be made about C in order that we have the notion of such a presheaf being a 'sheaf'? I …
Victoria Flat's user avatar
98 votes
10 answers
14k views

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

Given a topological space $X$, we can define the sheaf cohomology of $X$ in I. the Grothendieck style (as the right derived functor of the global sections functor $\Gamma(X,-)$) or II. the Čech st …
Victoria Flat's user avatar