Group Actions: G-objects in a Concrete Category

Related lectures (32)

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Explores actions on products in group theory, including automorphism construction and preservation of products.

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

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

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

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores natural transformations between functors in different categories and their applications.

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

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

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

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