Theorems · Definition · algebraic topology
SSet.Subcomplex.preimage
{X Y : SSet} → X.Subcomplex → (Y ⟶ X) → Y.SubcomplexThe preimage of a subcomplex by a morphism of simplicial sets.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Set.preimageproof · cited by 4,946
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- CategoryTheory.Subfunctor.objproof · cited by 227
Cited by40
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.preimage_objstatement and proof · cited by 11
- SSet.Subcomplex.N.orderIsoOfIsostatement and proof · cited by 8
- SSet.Subcomplex.Pairing.ofIsostatement and proof · cited by 7
- SSet.Subcomplex.image_le_iffstatement and proof · cited by 6
- SSet.Subcomplex.fromPreimagestatement and proof · cited by 3
- SSet.Subcomplex.Pairing.ofIso_pstatement and proof · cited by 2
- SSet.Subcomplex.unionProd.preimage_β_homstatement · cited by 2
- SSet.Subcomplex.preimage_rangestatement · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_mapstatement and proof · cited by 1
- SSet.relativeCellComplexOfMono.Cell.preimage_mapstatement and proof · cited by 1
- SSet.Subcomplex.fromPreimage_ιstatement · cited by 1
- SSet.Subcomplex.image_ofSimplexproof · cited by 1