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Theorems · Definition · category theory

CategoryTheory.ShortComplex.RightHomologyData.Q

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] → {S : CategoryTheory.ShortComplex C} → S.RightHomologyData → C

a choice of cokernel of S.f : S.X₁ ⟶ S.X₂

Defined in
Mathlib.Algebra.Homology.ShortComplex.RightHomology
Cited by
163 results in Mathlib
Foundations
Depth 4 from the axioms, rests on 5 definitions · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ShortComplex.opcycles · cited by 192ShortComplex.opcyclesCategoryTheory.ShortComplex.RightHomologyData.p · cited by 84RightHomologyData.pCategoryTheory.ShortComplex.RightHomologyData.ι · cited by 69RightHomologyData.ιCategoryTheory.ShortComplex.RightHomologyData.g' · cited by 43RightHomologyData.g'CategoryTheory.ShortComplex.RightHomologyMapData.φQ · cited by 37RightHomologyMapData.φQCategoryTheory.ShortComplex.opcyclesMap' · cited by 26ShortComplex.opcyclesMap'CategoryTheory.ShortComplex.RightHomologyData.map · cited by 23RightHomologyData.mapCategoryTheory.ShortComplex.RightHomologyData.opcyclesIso · cited by 23RightHomologyData.opcycle…CategoryTheory.ShortComplex.RightHomologyData.op · cited by 17RightHomologyData.opCategoryTheory.ShortComplex.RightHomologyData.p_g' · cited by 17RightHomologyData.p_g'CategoryTheory.ShortComplex.RightHomologyData.descQ · cited by 11RightHomologyData.descQCategoryTheory.ShortComplex.RightHomologyData.unop · cited by 10RightHomologyData.unopHomologicalComplex.extend.rightHomologyData · cited by 8extend.rightHomologyDataCategoryTheory.ShortComplex.RightHomologyData.p_descQ · cited by 8RightHomologyData.p_descQCategoryTheory.ShortComplex.RightHomologyMapData.opcyclesMap'_eq · cited by 8RightHomologyMapData.opcy…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.ShortComplex · cited by 1850CategoryTheory.ShortCompl…CategoryTheory.ShortComplex.RightHomologyData · cited by 211ShortComplex.RightHomolog…RightHomologyData.QCITED BYCITES

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Cited by196

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