Theorems · Definition · category theory
CategoryTheory.coherentTopology
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] → [CategoryTheory.Precoherent C] → CategoryTheory.GrothendieckTopology CThe coherent Grothendieck topology on a precoherent category C.
- Cited by
- 141 results in Mathlib
- Foundations
- Depth 36 from the axioms, rests on 263 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Precoherentstatement and proof · cited by 26
- CategoryTheory.Coverage.toGrothendieckproof · cited by 15
- CategoryTheory.coherentCoverageproof · cited by 6
Cited by242
Results whose statement or proof uses this declaration.
- Condensedproof · cited by 20
- LightCondensedproof · cited by 15
- LightCondensed.freestatement and proof · cited by 12
- CompHausLike.LocallyConstant.functorstatement and proof · cited by 11
- lightProfiniteToLightCondSetstatement and proof · cited by 11
- CategoryTheory.Equivalence.sheafCongrPrecoherentstatement and proof · cited by 11
- CategoryTheory.Presheaf.coherentExtensiveEquivalencestatement and proof · cited by 11
- LightCondensed.forgetstatement and proof · cited by 10
- LightCondensed.freeForgetAdjunctionstatement and proof · cited by 6
- CategoryTheory.Presheaf.isSheaf_iff_preservesFiniteProducts_and_equalizerConditionstatement · cited by 5
- LightCondensed.discretestatement and proof · cited by 5
- LightCondensed.ihomPointsstatement and proof · cited by 5
Showing the 200 most cited of 242.