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Related lectures (32)

Page 2 of 4

Divisibility and Torsion

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

Group Actions: G-objects in a Concrete Category

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

Active Learning Session

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

Categorical Context of G-objects

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Natural Transformations: Examples

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Introduction to Category Theory: Natural Transformations

Covers the concept of natural transformations between functors and their associativity.

Group Theory: Adjoint Functors and G-sets

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

Functors: Assigning Morphisms and Dual Spaces

Covers the concept of functors, assigning morphisms and dual spaces in different categories.

Introduction to Category Theory: Adjoint Functors

Introduces adjoint functors in category theory, emphasizing their significance and applications in establishing relationships between different categories.

Limits and colimits: Concrete Examples

Explores concrete examples of limits and colimits in functors and different categories.