Timeline for Why does the associated sheaf vanish?
Current License: CC BY-SA 4.0
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Feb 2, 2023 at 16:58 | comment | added | Boris | Thank you so much for your kind guidance. Your explanations, including the generalization to a map of topological spaces, are very insightful. I understand the reasoning now. | |
Feb 2, 2023 at 16:49 | comment | added | Piotr Achinger | Your functors (sheafification of cohomology, in all degrees) form a universal delta functor from the category of sheaves on X to itself, and so is the system consisting of identity in degree zero and zero in positive degrees. More generally, for a map from X to Y, sheafifying cohomology of F on preimages of opens on Y computes the higher direct images. | |
Feb 2, 2023 at 16:43 | history | asked | Boris | CC BY-SA 4.0 |