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Lecture
Natural Transformations and Functors
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Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Category Theory: Introduction
Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.
Introduction to Category Theory: Adjunctions (Part 1)
Explores the definition of adjunctions and the relationship between functors.
Natural Transformations Composition
Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.
Natural Transformations: Examples
Introduces natural transformations through examples, covering equivalence of categories and functor properties.
Natural Transformations: Functor L
Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.
Group Actions and Functors
Covers group quotient, group actions, and functors connecting sets and G-sets.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Equivalences de Catégories et Adjonctions
Explores category equivalences, adjunctions, and group actions in category theory.