Theorems · Definition · algebraic topology
SSet.N.toSemiSimplexCategory
(X : SSet) → [X.Nonsingular] → CategoryTheory.Functor X.N SemiSimplexCategory
If X is a nonsingular simplicial set, this is the functor
X.N ⥤ SemiSimplexCategory which sends a nondegenerate
simplex s : X.N to ⦋s.dim⦌ₛ.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Nonsingular
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- SSetstatement and proof · cited by 1,283
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
- SSet.Nstatement and proof · cited by 70
- SSet.Nonsingularstatement and proof · cited by 22
- SemiSimplexCategorystatement · cited by 15
- SSet.N.monoOfLEproof · cited by 9
- SemiSimplexCategory.homOfMonoproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- SSet.functorN'proof · cited by 2
- SSet.N.toSemiSimplexCategory_mapstatement and proof · cited by 0
- SSet.N.toSemiSimplexCategory_objstatement and proof · cited by 0
- SSet.coconeN'_ι_appstatement · cited by 0