Theorems · Definition · category theory
CategoryTheory.GrothendieckTopology.HOneHypercover
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.GrothendieckTopology C → C → Type (max (max u v) (u_1 + 1))The category of 1-hypercovers with refinement morphisms up to homotopy.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 and proof · cited by 1,415
- CategoryTheory.Quotientproof · cited by 48
- CategoryTheory.GrothendieckTopology.OneHypercover.homotopicRelproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.GrothendieckTopology.OneHypercover.toHOneHypercoverstatement · cited by 1
- CategoryTheory.PreOneHypercover.Homotopy.map_eq_mapstatement · cited by 0