Theorems · Definition · algebraic topology
SSet.RelativeMorphism.map
{X Y : SSet} →
{A : X.Subcomplex} → {B : Y.Subcomplex} → {φ : A.toSSet ⟶ B.toSSet} → SSet.RelativeMorphism A B φ → (X ⟶ Y)The underlying morphism of simplicial sets.
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.RelativeMorphismstatement and proof · cited by 39
Cited by74
Results whose statement or proof uses this declaration.
- SSet.RelativeMorphism.botEquivproof · cited by 6
- SSet.RelativeMorphism.compproof · cited by 6
- SSet.RelativeMorphism.commstatement · cited by 3
- SSet.RelativeMorphism.Homotopy.h₀statement · cited by 2
- SSet.RelativeMorphism.Homotopy.h₁statement · cited by 2
- SSet.PtSimplex.comp_map_eq_conststatement · cited by 2
- SSet.PtSimplex.opEquivproof · cited by 2
- SSet.PtSimplex.δ_mapstatement · cited by 1
- SSet.RelativeMorphism.extstatement and proof · cited by 1
- SSet.RelativeMorphism.image_lestatement and proof · cited by 1
- SSet.RelativeMorphism.map_coestatement · cited by 1
- SSet.RelativeMorphism.map_eq_of_memstatement · cited by 1