Theorems · Inductive type · algebraic topology
SSet.Nonsingular
SSet → Prop
A simplicial set X is nonsingular if for any
nondegenerate simplex x (of dimension n), the corresponding
morphism Δ[n] ⟶ X is a monomorphism.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement · cited by 1,283
Cited by31
Results whose statement or proof uses this declaration.
- SSet.N.monoOfLEstatement and proof · cited by 9
- SSet.Nonsingular.mono'statement and proof · cited by 5
- SSet.N.map_monoOfLEstatement and proof · cited by 3
- SSet.N.toSemiSimplexCategorystatement and proof · cited by 3
- SSet.functorN'statement and proof · cited by 2
- SSet.N.existsUnique_of_lestatement and proof · cited by 2
- SSet.Nonsingular.isostatement and proof · cited by 2
- SSet.coconeN'statement and proof · cited by 2
- SSet.N.monoOfLE_compstatement and proof · cited by 1
- SSet.N.stdSimplex_map_monoOfLE_yonedaEquiv_symm_simplexstatement and proof · cited by 1
- SSet.Nonsingular.injective_mapstatement and proof · cited by 1
- SSet.Nonsingular.of_monostatement and proof · cited by 1