Adjunctions: Trivial and Application Quotient

Related lectures (32)

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Explores group actions on sets, orbits, fixed points, and classic results.

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

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

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

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

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.

Explores fixed points in G-sets, applications between sets, and the construction of orbits.

Explores the construction of G-sets and left adjoint functors in category theory.

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

Explores natural transformations in algebra, defining functors and isomorphisms.