Theorems · Definition · category theory

ComplexShape.Embedding.stupidTruncFunctor

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

The stupid truncation functor HomologicalComplex C c' ⥤ HomologicalComplex C c' given by an embedding e : Embedding c c' of complex shapes.

Defined in

Mathlib.Algebra.Homology.Embedding.StupidTrunc

Cited by

2 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasZeroObjectComplexShape.Embedding.IsRelIff