Geodesic
A cohomological bundle theory for sheaf cohomology
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 341-366.

Voir la notice de l'article provenant de la source International Press of Boston

We develop a bundle theory of presheaves on small categories, based on similar work by Brent Everitt and Paul Turner. For a certain set of presheaves on posets, we produce a Leray–Serre type spectral sequence that gives a reduction property for the cohomology of the presheaf. This extends the usual cohomological reduction of posets with a unique maximum.
DOI : 10.4310/HHA.2024.v26.n1.a20
Classification : 05E45, 55N30, 55T05
Keywords: sheaf cohomology, spectral sequence, bundle of presheaves 
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Mihail Hurmuzov. A cohomological bundle theory for sheaf cohomology. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 341-366. doi : 10.4310/HHA.2024.v26.n1.a20. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a20/

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