Active Learning Session: Group Theory

This lecture covers active learning on the topics of products, coproducts, equivalences, adjunctions, and natural transformations in the context of Group Theory, emphasizing the relationship between equivalences of categories and adjunctions. The instructor explores the concept of adjoints to the left and right, providing insights into the characterization of adjunctions and the natural transformations involved. The lecture delves into the theory behind the product and coproduct of two topological spaces, highlighting the importance of choosing the right topology. Additionally, it discusses the consequences of the existence of adjoints and the implications for defining products and coproducts in category theory.