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Related lectures (32)
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Natural Transformations
Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Category Theory: G-sets and Left Adjoint Functor
Explores the construction of G-sets and left adjoint functors in category theory.
Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Functors and Adjunctions
Explores functors between categories and the conditions for left and right adjoints.
Natural Transformations: Examples
Introduces natural transformations through examples, covering equivalence of categories and functor properties.
Group Actions and Functors
Covers group quotient, group actions, and functors connecting sets and G-sets.
Introduction to Category Theory: Functors
Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.
Natural Transformations in Group Theory
Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.