Theorems · Definition · algebraic topology
CategoryTheory.SimplicialObject.Splitting.IndexSet.e
{Δ : SimplexCategoryᵒᵖ} →
(A : CategoryTheory.SimplicialObject.Splitting.IndexSet Δ) → Opposite.unop Δ ⟶ Opposite.unop A.fstThe epimorphism in SimplexCategory associated to A : Splitting.IndexSet Δ
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.Epistatement · cited by 688
- CategoryTheory.SimplicialObject.Splitting.IndexSetstatement and proof · cited by 65
Cited by35
Results whose statement or proof uses this declaration.
- CategoryTheory.SimplicialObject.Splitting.cofanproof · cited by 46
- AlgebraicTopology.DoldKan.Γ₀.Obj.mapproof · cited by 9
- CategoryTheory.SimplicialObject.Splitting.IndexSet.pullproof · cited by 7
- CategoryTheory.SimplicialObject.Splitting.mapproof · cited by 5
- CategoryTheory.SimplicialObject.Splitting.IndexSet.epiCompproof · cited by 5
- CategoryTheory.SimplicialObject.Splitting.cofan_inj_eqstatement · cited by 4
- AlgebraicTopology.DoldKan.Γ₂N₁.natTransproof · cited by 4
- AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summandstatement and proof · cited by 4
- CategoryTheory.SimplicialObject.Splitting.cofan'proof · cited by 3
- AlgebraicTopology.DoldKan.Γ₀.Obj.map_on_summand₀statement and proof · cited by 3
- CategoryTheory.SimplicialObject.Splitting.cofan_inj_comp_PInfty_eq_zeroproof · cited by 2
- CategoryTheory.SimplicialObject.Splitting.cofan_inj_comp_appstatement and proof · cited by 2