Theorems · Definition · category theory

CategoryTheory.nerveMap

{C D : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Category.{v, u} D] →
      CategoryTheory.Functor C D → (CategoryTheory.nerve C ⟶ CategoryTheory.nerve D)

Given a functor C ⥤ D, we obtain a morphism nerve C ⟶ nerve D of simplicial sets.

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.Nerve

Cited by

12 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category