Lectures related to Homotopy Classes

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

Covers homotopy, quotient spaces, and the universal property in topology.

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Explores constructing a base B for a topology using homotopy classes and paths.

Explores the Serre model structure on Top, focusing on right and left homotopy.

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Discusses fundamental groups, surfaces, and their topological properties in detail.

Covers commutative diagrams, homotopy, and constructing topological spaces.

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.