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For questions about sheaves on a topological space.
34
votes
Accepted
What is sheaf cohomology intuitively?
One way to think about $H^1(A)$ is to use the long exact sequence not as a property of cohomology, but outright as a definition. That is, given an exact sequence of sheaves,
$$ 0\rightarrow A\rightar …
105
votes
Accepted
How should one think about sheafification and the difference between a sheaf and a presheaf
There are two ways a presheaf can fail to be a sheaf.
It has local sections that should patch together to give a global section, but don't,
It has non-zero sections which are locally zero.
When di …