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Lecture
Natural Transformations: Definition
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Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Natural Learning Session
Explores coproducts, universal properties, and natural transformations in category theory.
Introduction to Category Theory: Equivalence of Categories
Covers the definition of equivalence of categories using natural transformations and provides concrete examples.
Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.
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.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Active Learning Session
Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.
Natural Transformations: Adjunctions and Triangular Identities
Explores adjunctions, triangular identities, and natural transformations in category theory.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
