Theorems · Definition · category theory
HomotopicalAlgebra.CofibrantObject.HoCat
(C : Type u_1) → [inst : CategoryTheory.Category.{v_1, u_1} C] → [HomotopicalAlgebra.ModelCategory C] → Type u_1The homotopy category of cofibrant objects.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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
- HomotopicalAlgebra.ModelCategorystatement and proof · cited by 141
- CategoryTheory.Quotientproof · cited by 48
- HomotopicalAlgebra.CofibrantObject.homRelproof · cited by 20
Cited by33
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.CofibrantObject.toHoCatstatement · cited by 14
- HomotopicalAlgebra.BifibrantObject.HoCat.ιCofibrantObjectstatement · cited by 6
- HomotopicalAlgebra.CofibrantObject.HoCat.bifibrantResolutionstatement · cited by 5
- HomotopicalAlgebra.CofibrantObject.HoCat.resolutionstatement · cited by 2
- HomotopicalAlgebra.CofibrantObject.HoCat.adjCounit'statement · cited by 1
- HomotopicalAlgebra.CofibrantObject.HoCat.adjCounitIsostatement · cited by 1
- HomotopicalAlgebra.CofibrantObject.HoCat.adjUnitstatement · cited by 1
- HomotopicalAlgebra.CofibrantObject.bifibrantResolutionMap_fac'statement · cited by 1
- HomotopicalAlgebra.CofibrantObject.HoCat.localizerMorphismResolutionstatement · cited by 1
- HomotopicalAlgebra.CofibrantObject.HoCat.ιCompResolutionNatTransstatement · cited by 1
- HomotopicalAlgebra.CofibrantObject.toHoCat_map_eqstatement · cited by 1
- HomotopicalAlgebra.CofibrantObject.toHoCat_map_eq_iffstatement · cited by 1