Categories and FunctorsCovers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Limits and colimits in TopCovers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
The Nerve and Geometric RealizationDelves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.
Theory: AdjunctionsIntroduces adjunctions between categories, emphasizing equivalence and natural transformations.
Theory: AdjunctionsExplores the theory of adjunctions, covering their definition, properties, and applications through examples and exercises.