Exact functor

Related lectures (31)

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Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

Introduces limits and colimits in a category, covering their properties and uniqueness.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explores exact linearization, determining conditions and transformations using Lie bracket and hook of Lie.

Explores G-objects in a concrete category and the framework for group actions.

Explores free abelian groups, homomorphisms, exact sequences, and functors in group theory.

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

Explains split exact sequences in abelian groups, emphasizing the role of sections and retractions.

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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