Limits and Colimits: Understanding Categories

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

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

Covers the concept of natural transformations between functors and their associativity.

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

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

Covers the transfer of model structures through adjunctions in the context of model categories.

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

Covers adjunctions, push outs, colimits, and discrete fibers in coverings, emphasizing group actions and symmetries.

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

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