Topology: Seifert van Kampen Theorem

This lecture covers the Seifert van Kampen theorem, focusing on the technical demonstration and its applications in calculating the fundamental group of a wedge space. The instructor addresses questions regarding the proof, clarifying the spaces where paths are located and the complexities arising from intersections. The lecture also delves into the theory of pointed spaces, calculating the fundamental group of a wedge, and dealing with cell attachments. An exercise is presented to demonstrate the application of the theorem in specific cases. The instructor emphasizes the importance of understanding these concepts through rigorous proofs and practical examples.