Lectures related to Homeomorphism group

Covers the Hairy Ball Theorem and vector fields on spheres.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Covers the decomposition of a CW complex based on characteristic maps and cell containment.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Explores the Duality Principle for Radon measures and its applications.

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Explores the discriminant's role in equations, symmetry, and orbits in mathematical spaces.

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

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.