13 Derived Categories
Chapter 13 of the Stacks Project, Derived Categories, Tag 05QI: the 40 sections of its 42 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 267 tags are carried by 350 declarations of the repository (all in StacksFrontier) and 61 registered declarations.
13.3 The definition of a… to 13.17 Triangulated…
- 13.3 The definition of a triangulated category
- 13.4 Elementary results on triangulated categories
- 13.5 Localization of triangulated categories
- 13.6 Quotients of triangulated categories
- 13.7 Adjoints for exact functors
- 13.8 The homotopy category
- 13.9 Cones and termwise split sequences
- 13.10 Distinguished triangles in the homotopy category
- 13.11 Derived categories
- 13.12 The canonical delta-functor
- 13.13 Filtered derived categories
- 13.14 Derived functors in general
- 13.15 Derived functors on derived categories
- 13.16 Higher derived functors
- 13.17 Triangulated subcategories of the derived category
13.18 Injective resolutions to 13.37 Compact objects
- 13.18 Injective resolutions
- 13.19 Projective resolutions
- 13.20 Right derived functors and injective resolutions
- 13.21 Cartan-Eilenberg resolutions
- 13.22 Composition of right derived functors
- 13.23 Resolution functors
- 13.24 Functorial injective embeddings and resolution functors
- 13.25 Right derived functors via resolution functors
- 13.26 Filtered derived category and injective resolutions
- 13.27 Ext groups
- 13.28 K-groups
- 13.29 Unbounded complexes
- 13.30 Deriving adjoints
- 13.31 K-injective complexes
- 13.32 Bounded cohomological dimension
- 13.33 Derived colimits
- 13.34 Derived limits
- 13.35 Operations on full subcategories
- 13.36 Generators of triangulated categories
- 13.37 Compact objects
13.38 Brown representability to 13.42 Essentially constant…
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