Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
