Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.
