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Related lectures (32)

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Group Theory: Restriction Functor

Explores the restriction functor in group theory, focusing on its properties.

Introduction to Coproducts

Introduces coproducts in category theory, exploring their properties, universality, and relationships with products.

Redly Constructed Morphisms

Explores the construction and properties of morphisms, focusing on effective divisors, isomorphism of semi-groups, and the relationship between sheaves and factorial spaces.

Introduction to Categories: Products and Coproducts

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

Functor Fixed Points and Orbital Functor

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

Isomorphism in Categories

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.

Functor Hom: Abelian Groups

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Functors: Definition

Introduces functors in category theory and explains their composition.

Active Learning Session

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

Natural Transformations: Functors and Categories

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