Introduction to Category Theory: Equivalence of Categories

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

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

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

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

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

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

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

Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.