Theorems · Definition · category theory

HomologicalComplex.restrictionMap

{ι : Type u_1} →
  {ι' : Type u_2} →
    {c : ComplexShape ι} →
      {c' : ComplexShape ι'} →
        {C : Type u_3} →
          [inst : CategoryTheory.Category.{v_1, u_3} C] →
            [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
              {K L : HomologicalComplex C c'} →
                (K ⟶ L) → (e : c.Embedding c') → [inst_2 : e.IsRelIff] → K.restriction e ⟶ L.restriction e

The morphism K.restriction e ⟶ L.restriction e induced by a morphism φ : K ⟶ L.

Defined in

Mathlib.Algebra.Homology.Embedding.Restriction

Cited by

16 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsComplexShape.Embedding.IsRelIff