Categorical Context of G-objects

Related lectures (32)

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Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Covers group quotient, group actions, and functors connecting sets and G-sets.

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

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

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

Covers special cases in group theory, focusing on group actions and functors.

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

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores the concept of free abelian groups as an important left adjoint functor.