This entry provides a hyperlinked index for the book
Categories and Sheaves,
Grundlehren der Mathematischen Wissenschaften 332, Springer (2006)
See also the related lecture notes
A self-contained introduction of the basics of presheaf-categories with detailed discussion of representable functors and the corresponding notions of limits, colimits, adjoint functors and ind-objects forms the first third of the book.
The last part merges these two threads in a discussion of sheaves in general and abelian sheaves in particular. This provides the machinery for the consideration of abelian sheaf cohomology conceptually embedded into the general notion of cohomology and higher stacks, on which the last section provides an outlook.
The organization and emphasis of the book (for instance of the category of sheaves as a localization of the category of presheaves) makes it a suitable 1-categorical preparation for the infinity-categorical discussion of sheaves in
and of triangulated categories, i.e. stable infinity-categories, in
The following lists chapterwise linked lists of keywords to relevant and related existing entries, as far as they already exist.
For a pedagogical motivation of the general topic under consideration here see
functor and presheaf categories
outloook and further reading