Paola Castagnoli: An introduction to sheaf cohomology.
Diplom thesis, Ferrara 1988.
Original title: Un'introduzione alla coomologia dei fasci.
SHEAVES

Filtered limits
Presheaves
Proto-sheaves and selections
Sheaves of sets
Sheaves of abelian groups and of modules
Fiber-conserving maps
Homomorphisms between sheaves
Some general constructions for sheaves

HOMOLOGICAL ALGEBRA

Exact sequences of modules
Projective modules
Injective modules
Complexes of R-modules

EXTENSION OF SELECTIONS

Normal and paracompact spaces
The exact sequence for a closed subspace
Non-resistent sheaves
Extension of selections defined on not necessarily open sets
Soft sheaves
Fine sheaves

EXACT CATEGORIES AND ABELIAN CATEGORIES

Elementary concepts from category theory
Categories with a distinguished zero object
Puppe's theorem
Exact categories
Tools for diagram chasing
The four-lemma in an exact category
Abelian categories

DERIVED FUNCTORS AND GROTHENDIECK COHOMOLOGY

Exact functors
Projective and injective resolutions
Derived functors
De Rham's theorem for derived functors
Grothendieck cohomology
The natural non-resistent resolution and the classical De Rham theorem

REFERENCES