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Lecture
Theory: Adjunctions
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Related lectures (32)
Natural Transformations: Examples and Applications
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Explores natural transformations between functors in different categories and their applications.
Natural Transformations in Algebra
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Explores natural transformations in algebra, defining functors and isomorphisms.
Equivalences de Catégories et Adjonctions
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Explores category equivalences, adjunctions, and group actions in category theory.
Homotopical Algebra
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Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Introduction to Category Theory: Natural Transformations
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Introduces natural transformations in category theory through concrete examples from group theory.
Limits and Colimits: Understanding Categories
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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.
Group Theory: Adjoint Functors and G-sets
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Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.
Introduction to Category Theory: Natural Transformations
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Covers the concept of natural transformations between functors and their associativity.
Introduction to Category Theory: Adjunctions (Part 1)
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Explores the definition of adjunctions and the relationship between functors.
Functors and Natural Transformations
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Delves into functors, natural transformations, and group actions with explicit examples.
Introduction to Category Theory: Functors
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Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Active Learning Session
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Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
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