Theorems · Definition · algebraic topology
SSet.Path.map
{X Y : SSet} → {n : ℕ} → X.Path n → (X ⟶ Y) → Y.Path nMaps of simplicial sets induce maps of paths in a simplicial set.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Pathstatement and proof · cited by 46
- SSet.truncationproof · cited by 34
- SSet.Truncated.Path.mapproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- SSet.Path.map_arrowstatement · cited by 1
- SSet.Path.map_intervalstatement · cited by 0
- SSet.Path.map_vertexstatement · cited by 0
- SSet.StrictSegal.spineToSimplex_mapstatement and proof · cited by 0
- SSet.Subcomplex.map_ι_liftPathstatement · cited by 0
- SSet.horn.spineId_map_hornInclusionstatement · cited by 0
- SSet.StrictSegal.quasicategoryproof · cited by 0