Adjunctions: Trivial and Application Quotient

Related lectures (32)

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Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

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

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

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

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

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

Delves into homotopical algebra, defining functors and adjunctions with examples.

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

Explores constructing desired adjoints in specific categories like Set.

Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.