Theorems · Definition · category theory
CategoryTheory.nerveFunctor
CategoryTheory.Functor CategoryTheory.Cat SSet
The nerve of a category, as a functor Cat ⥤ SSet
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorproof · cited by 531
- CategoryTheory.nerveproof · cited by 68
- CategoryTheory.nerveMapproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Nerve.nerveFunctor₂proof · cited by 8
- CategoryTheory.Nerve.cosk₂Isostatement · cited by 0
- CategoryTheory.nerve.functorOfNerveMap_nerveFunctor₂_mapstatement · cited by 0
- CategoryTheory.nerveFunctor.fullyfaithfulstatement and proof · cited by 0
- CategoryTheory.nerveAdjunctionstatement · cited by 0
- CategoryTheory.nerveFunctorCompHoFunctorIsostatement · cited by 0
- CategoryTheory.nerveFunctor_mapstatement and proof · cited by 0
- CategoryTheory.nerveFunctor_objstatement and proof · cited by 0