Theorems · Definition · algebraic topology
SSet.Subcomplex.topIso
(X : SSet) → ⊤.toSSet ≅ X
If X : SSet, this is the isomorphism of simplicial sets
from ⊤ : X.Subcomplex to X.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Top.topstatement · cited by 9,680
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement · cited by 461
- SSet.Subcomplex.toSSetstatement · cited by 315
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- Equiv.toIsoproof · cited by 58
- Equiv.Set.univproof · cited by 21
Cited by10
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMonoproof · cited by 14
- SSet.Subcomplex.Pairing.RankFunction.relativeCellComplexproof · cited by 2
- SSet.hasDimensionLT_subcomplex_top_iffproof · cited by 2
- SSet.Subcomplex.unionProd.isPushoutproof · cited by 2
- SSet.Subcomplex.topIso_inv_ιstatement · cited by 1
- SSet.finite_subcomplex_top_iffproof · cited by 1
- SSet.Subcomplex.topIso_homstatement · cited by 0
- SSet.Subcomplex.topIso_inv_app_hom_applystatement and proof · cited by 0
- SSet.Subcomplex.topIso_inv_ι_assocstatement and proof · cited by 0
- SSet.relativeCellComplexOfMono_isColimitstatement · cited by 0