Adjoint functors

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Page 3 of 4

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

Explains the concept of free actions and their preservation properties in group theory.

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

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

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

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

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

Explores the characterization of limits and colimits as adjoints in category theory.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

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