Group Actions: G-objects in a Concrete Category

Related lectures (32)

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Explores the construction of the free action functor and its equivariance.

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

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

Explores functors between categories and the conditions for left and right adjoints.

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

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

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

Explores constructing desired adjoints in specific categories like Set.

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

Covers simplicial and cosimplicial objects in category theory with practical examples.