Theorems · Definition · algebraic topology
SSet.relativeCellComplexOfMono.Cell.map
{X Y : SSet} → {i : X ⟶ Y} → {d : ℕ} → SSet.relativeCellComplexOfMono.Cell i d → (SSet.stdSimplex.obj { len := d } ⟶ Y)Given a monomorphism i : X ⟶ Y of simplicial sets and a nondegenerate d-simplex
of Y not in the range of i, this is the corresponding morphism Δ[d] ⟶ Y.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- Equiv.symmproof · cited by 3,681
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.yonedaEquivproof · cited by 55
- SSet.relativeCellComplexOfMono.Cellstatement and proof · cited by 29
- SSet.relativeCellComplexOfMono.Cell.simplexproof · cited by 11
Cited by9
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.bproof · cited by 12
- SSet.relativeCellComplexOfMono.tproof · cited by 7
- SSet.relativeCellComplexOfMono.wproof · cited by 3
- SSet.relativeCellComplexOfMono.Cell.range_map_lestatement · cited by 3
- SSet.relativeCellComplexOfMono.Cell.ι_b_ιstatement and proof · cited by 2
- SSet.relativeCellComplexOfMono.Cell.ι_t_ι_eq_ι_l_b_ιproof · cited by 2
- SSet.relativeCellComplexOfMono.isPullbackproof · cited by 1
- SSet.relativeCellComplexOfMono.Cell.preimage_mapstatement and proof · cited by 1
- SSet.relativeCellComplexOfMono.Cell.ι_b_ι_assocstatement and proof · cited by 0