Theorems · Definition · algebraic topology
SSet.Subcomplex.range
{X Y : SSet} → (X ⟶ Y) → Y.SubcomplexThe range of a morphism of simplicial sets, as a subcomplex.
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 461
- CategoryTheory.Subfunctor.rangeproof · cited by 46
Cited by57
Results whose statement or proof uses this declaration.
- SSet.skeletonOfMonoproof · cited by 33
- SSet.Subcomplex.liftstatement and proof · cited by 12
- SSet.Subcomplex.toRangestatement · cited by 6
- SSet.strongAnodyneExtensionsproof · cited by 6
- SSet.Subcomplex.range_eq_ofSimplexstatement · cited by 5
- SSet.strongInnerAnodyneExtensionsproof · cited by 5
- SSet.Subcomplex.Pairing.RankFunction.Cell.type₁statement · cited by 4
- SSet.Subcomplex.Pairing.RankFunction.Cell.type₂statement · cited by 4
- SSet.Subcomplex.Pairing.RankFunction.mapNstatement and proof · cited by 4
- SSet.relativeCellComplexOfMono.Cell.range_map_lestatement · cited by 3
- SSet.iSup_range_eq_top_of_isColimitstatement and proof · cited by 3
- SSet.Subcomplex.Pairing.RankFunction.Cell.range_mapstatement · cited by 2