Lectures related to Cellular Decomposition Examples

Covers definitions, examples, and properties of coatings in the context of group theory.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores the action of Hamiltonian homeomorphisms on surfaces and discusses related mathematical concepts.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.