Lectures in course MATH-225: Topology II - fundamental groups

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

Covers the properties of coatings, including trivializing opens and automorphisms.

Focuses on proving the closure of Z by showing that its complement is open.

Covers the concept of morphisms of coverings and emphasizes the recognition of automorphisms.

Covers the concept of path lifting and unique path lifting property.

Explains homotopy lifting, paths, proofs, constant paths, discrete spaces, and monomorphisms.

Explores totally discontinuous group actions on sets and their mathematical implications.

Discusses the unique bearing property of paths and solving lifting problems effectively.

Explores the continuity of mappings, paths between points, and centers of openings.