Theorems · Definition · category theory
HomotopicalAlgebra.cofibrations
(C : Type u) →
[inst : CategoryTheory.Category.{v, u} C] →
[HomotopicalAlgebra.CategoryWithCofibrations C] → CategoryTheory.MorphismProperty CThe class of cofibrations in a category with cofibrations.
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- HomotopicalAlgebra.CategoryWithCofibrationsstatement and proof · cited by 46
- HomotopicalAlgebra.CategoryWithCofibrations.cofibrationsproof · cited by 0
Cited by56
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.trivialCofibrationsproof · cited by 31
- HomotopicalAlgebra.CofibrantBrownFactorization.toMapFactorizationDatastatement · cited by 6
- HomotopicalAlgebra.Cylinder.ofFactorizationDatastatement and proof · cited by 6
- HomotopicalAlgebra.CofibrantBrownFactorization.mk'statement and proof · cited by 4
- HomotopicalAlgebra.CofibrantBrownFactorization.sstatement · cited by 4
- HomotopicalAlgebra.cofibration_iffstatement and proof · cited by 4
- HomotopicalAlgebra.RightHomotopyRel.exists_very_good_pathObjectproof · cited by 3
- HomotopicalAlgebra.isCofibrant_of_cofibrationstatement and proof · cited by 3
- HomotopicalAlgebra.mem_cofibrationsstatement · cited by 2
- HomotopicalAlgebra.Cylinder.exists_very_goodproof · cited by 2
- HomotopicalAlgebra.CofibrantBrownFactorization.mk.injstatement and proof · cited by 1
- HomotopicalAlgebra.CofibrantBrownFactorization.mk.noConfusionstatement and proof · cited by 1