Introduction to Category Theory: Equivalence of Categories

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Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

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

Explores natural transformations in algebra, defining functors and isomorphisms.

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

Introduces limits and colimits in a category, covering their properties and uniqueness.

Explores the definition of adjunctions and the relationship between functors.

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

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Explores category equivalences, adjunctions, and group actions in category theory.

Explores natural transformations between functors in different categories and their applications.