Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:characterizedBy |
axioms (TR1–TR4)
distinguished triangles shift functor |
| gptkbp:citation |
B. Keller, Handbook of Algebra, Vol. 1, 1996
Jean-Louis Verdier, Thesis, 1967 |
| gptkbp:field |
gptkb:mathematics
gptkb:category_theory homological algebra |
| gptkbp:generalizes |
derived categories
stable homotopy categories |
| https://www.w3.org/2000/01/rdf-schema#label |
Triangulated categories
|
| gptkbp:introduced |
gptkb:Jean-Louis_Verdier
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:relatedTo |
abelian categories
exact categories stable ∞-categories t-structures |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology representation theory |
| gptkbp:bfsParent |
gptkb:Jean-Louis_Verdier's_thesis
|
| gptkbp:bfsLayer |
7
|