TY  - GEN
AU  - Kashiwara, Masaki 
AU  - Schapira, Pierre
TI  - Categories and sheaves
SN  - 9783642066207
U1  - 514.224 
PY  - 2006///
CY  - Berlin
PB  - Springer-Verlag
KW  - Sheaf theory
KW  - Mathematics--Categories
KW  - Tensor Categories
KW  - Abelian Categories
KW  - Additive Categories
N1  - Includes references and index
N2  - Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays.

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.

The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.

https://rd.springer.com/book/10.1007/3-540-27950-4#about
ER  -