Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
