Lectures related to Exact functor

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

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

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

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

Explores the long exact sequence of Ext-modules and their computations in homological algebra.

Explores derived functors in model categories, focusing on identity and homotopy categories.

Explores constructing desired adjoints in specific categories like Set.

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

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

Explores the concept of free abelian groups as an important left adjoint functor.

Explores natural transformations in algebra, defining functors and isomorphisms.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

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

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

Covers exact sequences in homological algebra and the properties of Hom functors.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Covers the construction of long exact sequences of Ext-modules and provides illustrative examples.

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