Kashiwara Masaki

Categories and sheaves - New York: Springer, [c2006] - 497 p

Introduction
1. The Language of Categories
2. Limits
3. Filtrant Limits
4. Tensor Categories
5. Generators and Representability
6. Indization of Categories
7. Localization
8. Additive and Abelian Categories
9. π-accessible Objects and F-injective Objects
10. Triangulated Categories
11. Complexes in Additive Categories
12. Complexes in Abelian Categories
13. Derived Categories
14. Unbounded Derived Categories
15. Indization and Derivation of Abelian Categories
16. Grothendieck Topologies
17. Sheaves on Grothendieck Topologiesc
18. Abelian Sheaves
19. Stacks and Twisted Sheaves

This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.--- summary provided by publisher

9783540279495

QA169