Introduction to Adjunctions in Category Theory

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

Explores the characterization of limits and colimits as adjoints in category theory.

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

Explores building categories from graphs and the encoding of information by functors.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

Introduces natural transformations in category theory through concrete examples from group theory.

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Covers the definition and properties of natural transformations between functors in category theory.

Explores functors between categories and the conditions for left and right adjoints.