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Results tagged with sheaf-theory
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user 1589
For questions about sheaves on a topological space.
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 …
- 1,871
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 …
- 1,871