Hamiltonian Homeomorphisms on Surfaces

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.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Subsets and subgroups associated with an action

Explores subsets and subgroups related to group actions on sets.