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Results tagged with sheaf-theory
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user 1048
For questions about sheaves on a topological space.
8
votes
Topology on the space of constructible sheaves
If you triangulate your space refining the stratification, a constructible sheaf is given by the data of a vector space $V_{\sigma}$ (a stalk at the barycenter, say) on each simplex $\sigma$ and a res …
- 4,949
7
votes
1
answer
307
views
On the ordered set of real numbers, does sheaf+cosheaf imply constant?
I have a technical question about unbounded chain complexes. I couldn't think of a descriptive title for it.
Let $P$ be a chain complex of contravariant functors on $\mathbf{R}$ (the real numbers reg …
- 37.8k
28
votes
3
answers
4k
views
How do I compare the different notions of Fourier transform for sheaves?
There is a close but not perfect relationship between algebraic D-modules on C^n, constructible sheaves on C^n in the analytic topology, and \ell-adic sheaves on an n-dimensional vector space over a f …
- 44.7k
7
votes
When are there enough projective sheaves on a space X?
Here is a sufficient condition. If a space has finitely many points, or more generally has the property that the intersection of even an infinite number of open sets is itself open, then it will have …
- 4,949