Theorems · Definition · category theory

CategoryTheory.Arrow.cechNerve

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (f : CategoryTheory.Arrow C) →
      [∀ (n : ℕ), CategoryTheory.Limits.HasWidePullback f.right (fun x => f.left) fun x => f.hom] →
        CategoryTheory.SimplicialObject C

The Čech nerve associated to an arrow.

Defined in

Mathlib.AlgebraicTopology.CechNerve

Cited by

18 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasWidePullback