Theorems · Definition · category theory
CategoryTheory.Sheaf.H
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.GrothendieckTopology C} →
CategoryTheory.Sheaf J AddCommGrpCat →
[inst_1 : CategoryTheory.HasSheafify J AddCommGrpCat] →
[CategoryTheory.HasExt (CategoryTheory.Sheaf J AddCommGrpCat)] → ℕ → Type w'The cohomology of an abelian sheaf in degree n.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- AddCommGrpCatstatement and proof · cited by 462
- CategoryTheory.HasExtstatement and proof · cited by 218
- CategoryTheory.Abelian.Extproof · cited by 191
- CategoryTheory.HasSheafifystatement and proof · cited by 106
- AddCommGrpCat.ofproof · cited by 97
Cited by15
Results whose statement or proof uses this declaration.
- CategoryTheory.Sheaf.H.mapstatement · cited by 9
- CategoryTheory.Sheaf.functorHproof · cited by 4
- CategoryTheory.Sheaf.H.addEquiv₀_mapstatement and proof · cited by 2
- CategoryTheory.Sheaf.H.equiv₀statement · cited by 2
- CategoryTheory.Sheaf.functorH_obj_coestatement · cited by 1
- CategoryTheory.Sheaf.subsingleton_H_of_isZerostatement · cited by 0
- CategoryTheory.Sheaf.functorH_mapstatement · cited by 0
- CategoryTheory.Sheaf.H.addEquiv₀_map_assocstatement and proof · cited by 0
- CategoryTheory.Sheaf.H.equiv₀_naturalitystatement and proof · cited by 0
- CategoryTheory.Sheaf.H.equiv₀_symm_naturalitystatement · cited by 0
- CategoryTheory.Sheaf.H.map_add_applystatement and proof · cited by 0
- CategoryTheory.Sheaf.H.map_applystatement and proof · cited by 0