Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
