Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
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.
Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.
Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.
