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Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.
Introduces coproducts in category theory, exploring their properties, universality, and relationships with products.
Covers details of the upcoming theoretical exam, including structure and guidelines.
