Dual (category theory)

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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.

Limits and Colimits: Understanding Categories

Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.

Homotopy Theory of Chain Complexes

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Natural Transformations

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

Natural Transformations and Functors

Covers natural transformations, functors, and their composition properties in category theory.

Fixed Points and Orbits Analysis: Group Actions

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

Introduction to Category Theory: Adjoint Functors

Introduces the concept of adjoint functors in category theory, focusing on the characterization of adjunctions.

Active Learning Session: Group Theory

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Group Actions and Functors

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

Triangular Identities

Covers triangular identities, natural transformations, commutative diagrams, and adjunction notation in group and category theory.