Theorems · Definition · algebraic topology
AlgebraicTopology.DoldKan.Q
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{X : CategoryTheory.SimplicialObject C} →
ℕ → (AlgebraicTopology.AlternatingFaceMapComplex.obj X ⟶ AlgebraicTopology.AlternatingFaceMapComplex.obj X)Q q is the complement projection associated to P q
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- ComplexShape.downstatement · cited by 605
- CategoryTheory.SimplicialObjectstatement and proof · cited by 548
- ChainComplexstatement · cited by 350
- AlgebraicTopology.AlternatingFaceMapComplex.objstatement and proof · cited by 146
- AlgebraicTopology.DoldKan.Pproof · cited by 38
Cited by20
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.decomposition_Qstatement and proof · cited by 4
- AlgebraicTopology.DoldKan.P_add_Q_fstatement · cited by 3
- AlgebraicTopology.DoldKan.Q_f_idemstatement · cited by 3
- AlgebraicTopology.DoldKan.Q_f_naturalitystatement · cited by 2
- AlgebraicTopology.DoldKan.Q_idemstatement and proof · cited by 1
- AlgebraicTopology.DoldKan.Q_is_eventually_constantstatement · cited by 1
- AlgebraicTopology.DoldKan.Q_succstatement · cited by 1
- AlgebraicTopology.DoldKan.Q_zerostatement · cited by 1
- AlgebraicTopology.DoldKan.σ_comp_P_eq_zeroproof · cited by 1
- AlgebraicTopology.DoldKan.P_add_Qstatement · cited by 1
- AlgebraicTopology.DoldKan.QInfty_fstatement · cited by 1
- AlgebraicTopology.DoldKan.natTransQproof · cited by 1