Theorems · Theorem · algebraic topology
SSet.horn.multicoequalizerDiagram
∀ {n : ℕ} (i : Fin (n + 1)),
(SSet.horn n i).MulticoequalizerDiagram (fun j => SSet.stdSimplex.face {↑j}ᶜ) fun j k =>
SSet.stdSimplex.face {↑j, ↑k}ᶜThe multicoequalizer diagram which expresses Λ[n, i] as a gluing
of all 1-codimensional faces of the standard simplex but one
along suitable 2-codimensional faces.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Finsetstatement and proof · cited by 13,712
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- Compl.complstatement and proof · cited by 2,925
- iSupproof · cited by 2,415
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- Finset.extproof · cited by 565
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexproof · cited by 461
Cited by19
Results whose statement or proof uses this declaration.
- SSet.horn₃₁.desc.multicoforkstatement · cited by 10
- SSet.horn₃₂.desc.multicoforkstatement · cited by 10
- SSet.horn.isColimitstatement and proof · cited by 8
- SSet.horn.hom_ext'proof · cited by 2
- SSet.horn₃₁.desc.multicofork_π_threestatement · cited by 1
- SSet.horn₃₁.desc.multicofork_π_twostatement · cited by 1
- SSet.horn₃₁.desc.multicofork_π_zerostatement · cited by 1
- SSet.horn₃₂.desc.multicofork_π_onestatement · cited by 1
- SSet.horn₃₂.desc.multicofork_π_threestatement · cited by 1
- SSet.horn₃₂.desc.multicofork_π_zerostatement · cited by 1
- SSet.horn.IsCompatible.exists_descproof · cited by 1
- SSet.horn₃₁.desc.multicofork_ptstatement · cited by 0