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Lecture
Natural Transformations: Examples
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Limits and Colimits: Understanding Categories
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.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Active Learning Session
Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
Introduction to Category Theory: Natural Transformations
Covers the concept of natural transformations between functors and their associativity.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
Active Learning in Category Theory
Explores examples of categories, morphisms, groupoids, and functors in category theory.
Active Learning Session
Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.