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Theorems · Definition · category theory

AlgebraicTopology.inclusionOfMooreComplex

(A : Type u_2) →
  [inst : CategoryTheory.Category.{v_2, u_2} A] →
    [inst_1 : CategoryTheory.Abelian A] →
      AlgebraicTopology.normalizedMooreComplex A ⟶ AlgebraicTopology.alternatingFaceMapComplex A

The inclusion map of the Moore complex in the alternating face map complex, as a natural transformation

Defined in
Mathlib.AlgebraicTopology.AlternatingFaceMapComplex
Cited by
1 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Abelian
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Around this declaration

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AlgebraicTopology.inclusionOfMooreComplex_app · cited by 0AlgebraicTopology.inclusi…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategoryCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianComplexShape.down · cited by 605ComplexShape.downCategoryTheory.SimplicialObject · cited by 548CategoryTheory.Simplicial…ChainComplex · cited by 350ChainComplexAlgebraicTopology.alternatingFaceMapComplex · cited by 25AlgebraicTopology.alterna…AlgebraicTopology.normalizedMooreComplex · cited by 14AlgebraicTopology.normali…AlgebraicTopology.inclusionOfMooreComplexMap · cited by 10AlgebraicTopology.inclusi…AlgebraicTopology.inclusionOf…CITED BYCITES

Cites12

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Cited by1

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