Introduction to CoproductsIntroduces coproducts in category theory, exploring their properties, universality, and relationships with products.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Active Learning SessionExplores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.
Equivalences of CategoriesExplores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.