Isomorphism in Categories

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Explores natural transformations in algebra, defining functors and isomorphisms.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Introduces categories, concrete examples, opposite categories, and isomorphisms, leading to groupoids.

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

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

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

Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.

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

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