Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:Verdier,_J.-L.,_Des_catégories_dérivées_des_catégories_abéliennes,_Astérisque_239_(1996)
|
| gptkbp:consistsOf |
complexes of objects in an abelian category
|
| gptkbp:definedIn |
abelian category
|
| gptkbp:field |
gptkb:category_theory
homological algebra |
| gptkbp:generalizes |
bounded above derived category
bounded below derived category bounded derived category |
| https://www.w3.org/2000/01/rdf-schema#label |
Unbounded derived category
|
| gptkbp:introduced |
gptkb:Jean-Louis_Verdier
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:locale |
homotopy category with respect to quasi-isomorphisms
|
| gptkbp:morphisms |
chain maps up to homotopy
|
| gptkbp:notation |
D(A)
|
| gptkbp:relatedTo |
derived category
triangulated category |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology representation theory |
| gptkbp:bfsParent |
gptkb:Derived_category
|
| gptkbp:bfsLayer |
6
|