Fixed Points and Orbits Analysis: Group Actions

Related lectures (32)

Page 3 of 4

Introduces the theory of categories through examples and discusses the product of categories.

Covers the construction and universal properties of pushouts in group theory.

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

Explores group actions, defining functors on groups, and verifying properties of group actions.

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

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

Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Explores the characterization of limits and colimits as adjoints in category theory.

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