Functor

Related lectures (32)

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

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

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

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

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

Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

Explores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.

Introduces adjunctions between categories, emphasizing equivalence and natural transformations.

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

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