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Related lectures (32)

Active Learning Session: Group Theory Log in to Mediaspace to watch this video

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Introduction to Category Theory: Equivalence of Categories Log in to Mediaspace to watch this video

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

Natural Transformations: Examples and Applications Log in to Mediaspace to watch this video

Explores natural transformations between functors in different categories and their applications.

Active Learning Session Log in to Mediaspace to watch this video

Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.

Equivalences de Catégories et Adjonctions Log in to Mediaspace to watch this video

Explores category equivalences, adjunctions, and group actions in category theory.

Natural Learning Session Log in to Mediaspace to watch this video

Explores coproducts, universal properties, and natural transformations in category theory.

Limits and Colimits: Understanding Categories Log in to Mediaspace to watch this video

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.

Homotopical Algebra Log in to Mediaspace to watch this video

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.

Category Theory: Introduction Log in to Mediaspace to watch this video

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Natural Transformations Log in to Mediaspace to watch this video

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Introduction to Category Theory: Natural Transformations Log in to Mediaspace to watch this video

Covers the concept of natural transformations between functors and their associativity.

Active Learning Session Log in to Mediaspace to watch this video

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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