[Merged by Bors] - feat(Algebra/Homology): the homotopy category of cochain complexes is triangulated#9550
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[Merged by Bors] - feat(Algebra/Homology): the homotopy category of cochain complexes is triangulated#9550
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thorimur
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Feb 24, 2024
In this PR, it is shown that in order to show that a pretriangulated category is triangulated category, i.e. in order to check the octahedron axiom, it is possible to replace a given diagram by an isomorphic diagram. This shall be used in #9550 in order to show that the homotopy category of cochain complexes in an additive category is triangulated.
thorimur
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Feb 26, 2024
In this PR, it is shown that in order to show that a pretriangulated category is triangulated category, i.e. in order to check the octahedron axiom, it is possible to replace a given diagram by an isomorphic diagram. This shall be used in #9550 in order to show that the homotopy category of cochain complexes in an additive category is triangulated.
riccardobrasca
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Mar 1, 2024
In this PR, it is shown that in order to show that a pretriangulated category is triangulated category, i.e. in order to check the octahedron axiom, it is possible to replace a given diagram by an isomorphic diagram. This shall be used in #9550 in order to show that the homotopy category of cochain complexes in an additive category is triangulated.
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mathlib-bors bot
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Mar 5, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]>
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mathlib-bors bot
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… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
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kbuzzard
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Mar 12, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
dagurtomas
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Mar 22, 2024
In this PR, it is shown that in order to show that a pretriangulated category is triangulated category, i.e. in order to check the octahedron axiom, it is possible to replace a given diagram by an isomorphic diagram. This shall be used in #9550 in order to show that the homotopy category of cochain complexes in an additive category is triangulated.
dagurtomas
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Mar 22, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
utensil
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Mar 26, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
xgenereux
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Apr 15, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
callesonne
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Apr 22, 2024
… triangulated (#9550) In this PR, we show that for any additive category `C`, the pretriangulated category `HomotopyCategory C (ComplexShape.up ℤ)` is triangulated, i.e. the octahedron axiom holds. Co-authored-by: Joël Riou <[email protected]> Co-authored-by: Joël Riou <[email protected]>
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In this PR, we show that for any additive category
C, the pretriangulated categoryHomotopyCategory C (ComplexShape.up ℤ)is triangulated, i.e. the octahedron axiom holds.