Equivalences of Categories

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

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Explores natural transformations in algebra, defining functors and isomorphisms.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

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

Explores the definition of adjunctions and the relationship between functors.

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

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

Provides an overview of categories, functors, and natural transformations in mathematics.