Theorems · Definition · algebraic topology
SSet.modelCategoryQuillen.I
CategoryTheory.MorphismProperty SSet
The generating cofibrations: this is the family of morphisms in SSet
which consists of boundary inclusions ∂Δ[n].ι : ∂Δ[n] ⟶ Δ[n].
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- SSetstatement · cited by 1,283
- SSet.boundaryproof · cited by 141
- SSet.Subcomplex.ιproof · cited by 136
- CategoryTheory.MorphismProperty.ofHomsproof · cited by 30
Cited by5
Results whose statement or proof uses this declaration.
- SSet.rlp_monomorphismsstatement and proof · cited by 2
- SSet.innerFibration_pullbackObjObjπproof · cited by 1
- SSet.fibration_pullbackObjObjπproof · cited by 1
- SSet.modelCategoryQuillen.I_le_monomorphismsstatement and proof · cited by 1
- SSet.modelCategoryQuillen.boundary_ι_mem_Istatement · cited by 0