Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.
Introduces adjunctions between categories, emphasizing equivalence and natural transformations.
Introduces two fundamental examples of simplicial sets: the nerve of a small category and the singular simplicial set of a topological space.
Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.
