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Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Introduces adjunctions between categories, emphasizing equivalence and natural transformations.
Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.
